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Finding the Fourth Proportional to 1,152.49, 1,728.92 and 459.17

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Solution

The fourth proportional to 1,152.49, 1,728.92 and 459.17 is: 688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.49 : 1,728.92 = 459.17 : x
  2. Step 2: Convert to fraction form
    1,152.49/1,728.92 = 459.17/x
  3. Step 3: Cross multiply
    1,152.49x = 1,728.92 × 459.17
  4. Step 4: Simplify right side
    1,152.49x = 793,868.20
  5. Step 5: Solve for x
    x = 793,868.20/1,152.49
  6. Step 6: Final answer
    x = 688.83

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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.