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Finding the Fourth Proportional to 1,032.77, 1,549.92 and 594.24

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Solution

The fourth proportional to 1,032.77, 1,549.92 and 594.24 is: 891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.77 : 1,549.92 = 594.24 : x
  2. Step 2: Convert to fraction form
    1,032.77/1,549.92 = 594.24/x
  3. Step 3: Cross multiply
    1,032.77x = 1,549.92 × 594.24
  4. Step 4: Simplify right side
    1,032.77x = 921,024.46
  5. Step 5: Solve for x
    x = 921,024.46/1,032.77
  6. Step 6: Final answer
    x = 891.80

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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.