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Finding the Fourth Proportional to 466.77, 703.31 and 387.39

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Solution

The fourth proportional to 466.77, 703.31 and 387.39 is: 583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.77 : 703.31 = 387.39 : x
  2. Step 2: Convert to fraction form
    466.77/703.31 = 387.39/x
  3. Step 3: Cross multiply
    466.77x = 703.31 × 387.39
  4. Step 4: Simplify right side
    466.77x = 272,451.74
  5. Step 5: Solve for x
    x = 272,451.74/466.77
  6. Step 6: Final answer
    x = 583.70

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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.