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Finding the Fourth Proportional to 747.63, 1,121.40 and 308.77

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Solution

The fourth proportional to 747.63, 1,121.40 and 308.77 is: 463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.63 : 1,121.40 = 308.77 : x
  2. Step 2: Convert to fraction form
    747.63/1,121.40 = 308.77/x
  3. Step 3: Cross multiply
    747.63x = 1,121.40 × 308.77
  4. Step 4: Simplify right side
    747.63x = 346,251.87
  5. Step 5: Solve for x
    x = 346,251.87/747.63
  6. Step 6: Final answer
    x = 463.13

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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.