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Finding the Fourth Proportional to 1,142.28, 1,712.58 and 565.02

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Solution

The fourth proportional to 1,142.28, 1,712.58 and 565.02 is: 847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.28 : 1,712.58 = 565.02 : x
  2. Step 2: Convert to fraction form
    1,142.28/1,712.58 = 565.02/x
  3. Step 3: Cross multiply
    1,142.28x = 1,712.58 × 565.02
  4. Step 4: Simplify right side
    1,142.28x = 967,641.95
  5. Step 5: Solve for x
    x = 967,641.95/1,142.28
  6. Step 6: Final answer
    x = 847.11

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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.