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Finding the Fourth Proportional to 756.92, 1,044.48 and 425.36

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Solution

The fourth proportional to 756.92, 1,044.48 and 425.36 is: 586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.92 : 1,044.48 = 425.36 : x
  2. Step 2: Convert to fraction form
    756.92/1,044.48 = 425.36/x
  3. Step 3: Cross multiply
    756.92x = 1,044.48 × 425.36
  4. Step 4: Simplify right side
    756.92x = 444,280.01
  5. Step 5: Solve for x
    x = 444,280.01/756.92
  6. Step 6: Final answer
    x = 586.96

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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.