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Finding the Fourth Proportional to 935.05, 1,402.17 and 472.54

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Solution

The fourth proportional to 935.05, 1,402.17 and 472.54 is: 708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.05 : 1,402.17 = 472.54 : x
  2. Step 2: Convert to fraction form
    935.05/1,402.17 = 472.54/x
  3. Step 3: Cross multiply
    935.05x = 1,402.17 × 472.54
  4. Step 4: Simplify right side
    935.05x = 662,581.41
  5. Step 5: Solve for x
    x = 662,581.41/935.05
  6. Step 6: Final answer
    x = 708.61

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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.