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Finding the Fourth Proportional to 1,060.92, 1,591.70 and 513.40

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Solution

The fourth proportional to 1,060.92, 1,591.70 and 513.40 is: 770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.92 : 1,591.70 = 513.40 : x
  2. Step 2: Convert to fraction form
    1,060.92/1,591.70 = 513.40/x
  3. Step 3: Cross multiply
    1,060.92x = 1,591.70 × 513.40
  4. Step 4: Simplify right side
    1,060.92x = 817,178.78
  5. Step 5: Solve for x
    x = 817,178.78/1,060.92
  6. Step 6: Final answer
    x = 770.25

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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.