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Finding the Fourth Proportional to 747.65, 1,031.87 and 723.36

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Solution

The fourth proportional to 747.65, 1,031.87 and 723.36 is: 998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.65 : 1,031.87 = 723.36 : x
  2. Step 2: Convert to fraction form
    747.65/1,031.87 = 723.36/x
  3. Step 3: Cross multiply
    747.65x = 1,031.87 × 723.36
  4. Step 4: Simplify right side
    747.65x = 746,409.87
  5. Step 5: Solve for x
    x = 746,409.87/747.65
  6. Step 6: Final answer
    x = 998.35

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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.