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Finding the Fourth Proportional to 875.01, 1,311.36 and 412.71

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Solution

The fourth proportional to 875.01, 1,311.36 and 412.71 is: 618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.01 : 1,311.36 = 412.71 : x
  2. Step 2: Convert to fraction form
    875.01/1,311.36 = 412.71/x
  3. Step 3: Cross multiply
    875.01x = 1,311.36 × 412.71
  4. Step 4: Simplify right side
    875.01x = 541,211.39
  5. Step 5: Solve for x
    x = 541,211.39/875.01
  6. Step 6: Final answer
    x = 618.52

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.