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Finding the Fourth Proportional to 1,032.56, 1,425 and 566.80

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Solution

The fourth proportional to 1,032.56, 1,425 and 566.80 is: 782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.56 : 1,425 = 566.80 : x
  2. Step 2: Convert to fraction form
    1,032.56/1,425 = 566.80/x
  3. Step 3: Cross multiply
    1,032.56x = 1,425 × 566.80
  4. Step 4: Simplify right side
    1,032.56x = 807,690.00
  5. Step 5: Solve for x
    x = 807,690.00/1,032.56
  6. Step 6: Final answer
    x = 782.22

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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.