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Finding the Fourth Proportional to 765.03, 1,144.71 and 457.05

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Solution

The fourth proportional to 765.03, 1,144.71 and 457.05 is: 683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.03 : 1,144.71 = 457.05 : x
  2. Step 2: Convert to fraction form
    765.03/1,144.71 = 457.05/x
  3. Step 3: Cross multiply
    765.03x = 1,144.71 × 457.05
  4. Step 4: Simplify right side
    765.03x = 523,189.71
  5. Step 5: Solve for x
    x = 523,189.71/765.03
  6. Step 6: Final answer
    x = 683.88

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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.