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Finding the Fourth Proportional to 1,032.69, 1,425.11 and 566.94

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Solution

The fourth proportional to 1,032.69, 1,425.11 and 566.94 is: 782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.69 : 1,425.11 = 566.94 : x
  2. Step 2: Convert to fraction form
    1,032.69/1,425.11 = 566.94/x
  3. Step 3: Cross multiply
    1,032.69x = 1,425.11 × 566.94
  4. Step 4: Simplify right side
    1,032.69x = 807,951.86
  5. Step 5: Solve for x
    x = 807,951.86/1,032.69
  6. Step 6: Final answer
    x = 782.38

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1.5x scale

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.