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Finding the Fourth Proportional to 1,153.20, 1,728.38 and 503.17

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Solution

The fourth proportional to 1,153.20, 1,728.38 and 503.17 is: 754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.20 : 1,728.38 = 503.17 : x
  2. Step 2: Convert to fraction form
    1,153.20/1,728.38 = 503.17/x
  3. Step 3: Cross multiply
    1,153.20x = 1,728.38 × 503.17
  4. Step 4: Simplify right side
    1,153.20x = 869,666.45
  5. Step 5: Solve for x
    x = 869,666.45/1,153.20
  6. Step 6: Final answer
    x = 754.14

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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.