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Finding the Fourth Proportional to 685.28, 1,023.94 and 562.16

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Solution

The fourth proportional to 685.28, 1,023.94 and 562.16 is: 839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.28 : 1,023.94 = 562.16 : x
  2. Step 2: Convert to fraction form
    685.28/1,023.94 = 562.16/x
  3. Step 3: Cross multiply
    685.28x = 1,023.94 × 562.16
  4. Step 4: Simplify right side
    685.28x = 575,618.11
  5. Step 5: Solve for x
    x = 575,618.11/685.28
  6. Step 6: Final answer
    x = 839.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.