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Finding the Fourth Proportional to 1,142.74, 1,576.53 and 728.50

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Solution

The fourth proportional to 1,142.74, 1,576.53 and 728.50 is: 1,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.74 : 1,576.53 = 728.50 : x
  2. Step 2: Convert to fraction form
    1,142.74/1,576.53 = 728.50/x
  3. Step 3: Cross multiply
    1,142.74x = 1,576.53 × 728.50
  4. Step 4: Simplify right side
    1,142.74x = 1,148,502.11
  5. Step 5: Solve for x
    x = 1,148,502.11/1,142.74
  6. Step 6: Final answer
    x = 1,005.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.