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Finding the Fourth Proportional to 1,142.50, 1,714.08 and 655.90

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Solution

The fourth proportional to 1,142.50, 1,714.08 and 655.90 is: 984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.50 : 1,714.08 = 655.90 : x
  2. Step 2: Convert to fraction form
    1,142.50/1,714.08 = 655.90/x
  3. Step 3: Cross multiply
    1,142.50x = 1,714.08 × 655.90
  4. Step 4: Simplify right side
    1,142.50x = 1,124,265.07
  5. Step 5: Solve for x
    x = 1,124,265.07/1,142.50
  6. Step 6: Final answer
    x = 984.04

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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.