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Finding the Fourth Proportional to 747.70, 1,031.61 and 511.45

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Solution

The fourth proportional to 747.70, 1,031.61 and 511.45 is: 705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.70 : 1,031.61 = 511.45 : x
  2. Step 2: Convert to fraction form
    747.70/1,031.61 = 511.45/x
  3. Step 3: Cross multiply
    747.70x = 1,031.61 × 511.45
  4. Step 4: Simplify right side
    747.70x = 527,616.93
  5. Step 5: Solve for x
    x = 527,616.93/747.70
  6. Step 6: Final answer
    x = 705.65

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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.