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Finding the Fourth Proportional to 467.14, 703.87 and 387.76

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Solution

The fourth proportional to 467.14, 703.87 and 387.76 is: 584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.14 : 703.87 = 387.76 : x
  2. Step 2: Convert to fraction form
    467.14/703.87 = 387.76/x
  3. Step 3: Cross multiply
    467.14x = 703.87 × 387.76
  4. Step 4: Simplify right side
    467.14x = 272,932.63
  5. Step 5: Solve for x
    x = 272,932.63/467.14
  6. Step 6: Final answer
    x = 584.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.