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Finding the Fourth Proportional to 685.56, 1,032.13 and 470.55

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Solution

The fourth proportional to 685.56, 1,032.13 and 470.55 is: 708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.56 : 1,032.13 = 470.55 : x
  2. Step 2: Convert to fraction form
    685.56/1,032.13 = 470.55/x
  3. Step 3: Cross multiply
    685.56x = 1,032.13 × 470.55
  4. Step 4: Simplify right side
    685.56x = 485,661.26
  5. Step 5: Solve for x
    x = 485,661.26/685.56
  6. Step 6: Final answer
    x = 708.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.