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Finding the Fourth Proportional to 1,142.64, 1,712.75 and 654.62

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Solution

The fourth proportional to 1,142.64, 1,712.75 and 654.62 is: 981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.64 : 1,712.75 = 654.62 : x
  2. Step 2: Convert to fraction form
    1,142.64/1,712.75 = 654.62/x
  3. Step 3: Cross multiply
    1,142.64x = 1,712.75 × 654.62
  4. Step 4: Simplify right side
    1,142.64x = 1,121,188.57
  5. Step 5: Solve for x
    x = 1,121,188.57/1,142.64
  6. Step 6: Final answer
    x = 981.23

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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.