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Finding the Fourth Proportional to 1,062.40, 1,591.28 and 513.42

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Solution

The fourth proportional to 1,062.40, 1,591.28 and 513.42 is: 769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.40 : 1,591.28 = 513.42 : x
  2. Step 2: Convert to fraction form
    1,062.40/1,591.28 = 513.42/x
  3. Step 3: Cross multiply
    1,062.40x = 1,591.28 × 513.42
  4. Step 4: Simplify right side
    1,062.40x = 816,999.49
  5. Step 5: Solve for x
    x = 816,999.49/1,062.40
  6. Step 6: Final answer
    x = 769.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.