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Finding the Fourth Proportional to 1,038.01, 1,432.42 and 565.90

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Solution

The fourth proportional to 1,038.01, 1,432.42 and 565.90 is: 780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.01 : 1,432.42 = 565.90 : x
  2. Step 2: Convert to fraction form
    1,038.01/1,432.42 = 565.90/x
  3. Step 3: Cross multiply
    1,038.01x = 1,432.42 × 565.90
  4. Step 4: Simplify right side
    1,038.01x = 810,606.48
  5. Step 5: Solve for x
    x = 810,606.48/1,038.01
  6. Step 6: Final answer
    x = 780.92

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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.