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Finding the Fourth Proportional to 685.40, 1,026.56 and 562.38

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Solution

The fourth proportional to 685.40, 1,026.56 and 562.38 is: 842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.40 : 1,026.56 = 562.38 : x
  2. Step 2: Convert to fraction form
    685.40/1,026.56 = 562.38/x
  3. Step 3: Cross multiply
    685.40x = 1,026.56 × 562.38
  4. Step 4: Simplify right side
    685.40x = 577,314.00
  5. Step 5: Solve for x
    x = 577,314.00/685.40
  6. Step 6: Final answer
    x = 842.31

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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.