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Finding the Fourth Proportional to 869.13, 1,199.66 and 607.23

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Solution

The fourth proportional to 869.13, 1,199.66 and 607.23 is: 838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.13 : 1,199.66 = 607.23 : x
  2. Step 2: Convert to fraction form
    869.13/1,199.66 = 607.23/x
  3. Step 3: Cross multiply
    869.13x = 1,199.66 × 607.23
  4. Step 4: Simplify right side
    869.13x = 728,469.54
  5. Step 5: Solve for x
    x = 728,469.54/869.13
  6. Step 6: Final answer
    x = 838.16

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Double scale
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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.