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Finding the Fourth Proportional to 801.53, 1,202.55 and 510.84

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Solution

The fourth proportional to 801.53, 1,202.55 and 510.84 is: 766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.53 : 1,202.55 = 510.84 : x
  2. Step 2: Convert to fraction form
    801.53/1,202.55 = 510.84/x
  3. Step 3: Cross multiply
    801.53x = 1,202.55 × 510.84
  4. Step 4: Simplify right side
    801.53x = 614,310.64
  5. Step 5: Solve for x
    x = 614,310.64/801.53
  6. Step 6: Final answer
    x = 766.43

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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.