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Finding the Fourth Proportional to 1,060.52, 1,589.64 and 511.53

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Solution

The fourth proportional to 1,060.52, 1,589.64 and 511.53 is: 766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.52 : 1,589.64 = 511.53 : x
  2. Step 2: Convert to fraction form
    1,060.52/1,589.64 = 511.53/x
  3. Step 3: Cross multiply
    1,060.52x = 1,589.64 × 511.53
  4. Step 4: Simplify right side
    1,060.52x = 813,148.55
  5. Step 5: Solve for x
    x = 813,148.55/1,060.52
  6. Step 6: Final answer
    x = 766.75

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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.