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Finding the Fourth Proportional to 1,032.25, 1,424.52 and 566.50

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Solution

The fourth proportional to 1,032.25, 1,424.52 and 566.50 is: 781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.25 : 1,424.52 = 566.50 : x
  2. Step 2: Convert to fraction form
    1,032.25/1,424.52 = 566.50/x
  3. Step 3: Cross multiply
    1,032.25x = 1,424.52 × 566.50
  4. Step 4: Simplify right side
    1,032.25x = 806,990.58
  5. Step 5: Solve for x
    x = 806,990.58/1,032.25
  6. Step 6: Final answer
    x = 781.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.