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Finding the Fourth Proportional to 981.10, 1,353.58 and 607.69

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Solution

The fourth proportional to 981.10, 1,353.58 and 607.69 is: 838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.10 : 1,353.58 = 607.69 : x
  2. Step 2: Convert to fraction form
    981.10/1,353.58 = 607.69/x
  3. Step 3: Cross multiply
    981.10x = 1,353.58 × 607.69
  4. Step 4: Simplify right side
    981.10x = 822,557.03
  5. Step 5: Solve for x
    x = 822,557.03/981.10
  6. Step 6: Final answer
    x = 838.40

Related Problems

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Half scale
Find fourth proportional to 1,962.20, 2,707.16 and 1,215.38
Double scale
Find fourth proportional to 982.10, 1,354.96 and 608.69
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.