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Finding the Fourth Proportional to 1,061.35, 1,591.58 and 513.70

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Solution

The fourth proportional to 1,061.35, 1,591.58 and 513.70 is: 770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.35 : 1,591.58 = 513.70 : x
  2. Step 2: Convert to fraction form
    1,061.35/1,591.58 = 513.70/x
  3. Step 3: Cross multiply
    1,061.35x = 1,591.58 × 513.70
  4. Step 4: Simplify right side
    1,061.35x = 817,592.08
  5. Step 5: Solve for x
    x = 817,592.08/1,061.35
  6. Step 6: Final answer
    x = 770.33

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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.