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Finding the Fourth Proportional to 938.76, 1,405.02 and 571.74

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Solution

The fourth proportional to 938.76, 1,405.02 and 571.74 is: 855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.76 : 1,405.02 = 571.74 : x
  2. Step 2: Convert to fraction form
    938.76/1,405.02 = 571.74/x
  3. Step 3: Cross multiply
    938.76x = 1,405.02 × 571.74
  4. Step 4: Simplify right side
    938.76x = 803,306.13
  5. Step 5: Solve for x
    x = 803,306.13/938.76
  6. Step 6: Final answer
    x = 855.71

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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.