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Finding the Fourth Proportional to 1,152.30, 1,728.81 and 493.83

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Solution

The fourth proportional to 1,152.30, 1,728.81 and 493.83 is: 740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.30 : 1,728.81 = 493.83 : x
  2. Step 2: Convert to fraction form
    1,152.30/1,728.81 = 493.83/x
  3. Step 3: Cross multiply
    1,152.30x = 1,728.81 × 493.83
  4. Step 4: Simplify right side
    1,152.30x = 853,738.24
  5. Step 5: Solve for x
    x = 853,738.24/1,152.30
  6. Step 6: Final answer
    x = 740.90

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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.