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Finding the Fourth Proportional to 801.55, 1,200.30 and 765.10

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Solution

The fourth proportional to 801.55, 1,200.30 and 765.10 is: 1,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.55 : 1,200.30 = 765.10 : x
  2. Step 2: Convert to fraction form
    801.55/1,200.30 = 765.10/x
  3. Step 3: Cross multiply
    801.55x = 1,200.30 × 765.10
  4. Step 4: Simplify right side
    801.55x = 918,349.53
  5. Step 5: Solve for x
    x = 918,349.53/801.55
  6. Step 6: Final answer
    x = 1,145.72

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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.