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Finding the Fourth Proportional to 765.53, 1,145.46 and 457.55

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Solution

The fourth proportional to 765.53, 1,145.46 and 457.55 is: 684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.53 : 1,145.46 = 457.55 : x
  2. Step 2: Convert to fraction form
    765.53/1,145.46 = 457.55/x
  3. Step 3: Cross multiply
    765.53x = 1,145.46 × 457.55
  4. Step 4: Simplify right side
    765.53x = 524,105.22
  5. Step 5: Solve for x
    x = 524,105.22/765.53
  6. Step 6: Final answer
    x = 684.63

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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.