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Finding the Fourth Proportional to 1,061.05, 1,592.03 and 512.95

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Solution

The fourth proportional to 1,061.05, 1,592.03 and 512.95 is: 769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.05 : 1,592.03 = 512.95 : x
  2. Step 2: Convert to fraction form
    1,061.05/1,592.03 = 512.95/x
  3. Step 3: Cross multiply
    1,061.05x = 1,592.03 × 512.95
  4. Step 4: Simplify right side
    1,061.05x = 816,631.79
  5. Step 5: Solve for x
    x = 816,631.79/1,061.05
  6. Step 6: Final answer
    x = 769.64

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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.