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Finding the Fourth Proportional to 932.66, 1,399.18 and 470.54

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Solution

The fourth proportional to 932.66, 1,399.18 and 470.54 is: 705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.66 : 1,399.18 = 470.54 : x
  2. Step 2: Convert to fraction form
    932.66/1,399.18 = 470.54/x
  3. Step 3: Cross multiply
    932.66x = 1,399.18 × 470.54
  4. Step 4: Simplify right side
    932.66x = 658,370.16
  5. Step 5: Solve for x
    x = 658,370.16/932.66
  6. Step 6: Final answer
    x = 705.91

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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.