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Finding the Fourth Proportional to 456.39, 686.10 and 427.83

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Solution

The fourth proportional to 456.39, 686.10 and 427.83 is: 643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.39 : 686.10 = 427.83 : x
  2. Step 2: Convert to fraction form
    456.39/686.10 = 427.83/x
  3. Step 3: Cross multiply
    456.39x = 686.10 × 427.83
  4. Step 4: Simplify right side
    456.39x = 293,534.16
  5. Step 5: Solve for x
    x = 293,534.16/456.39
  6. Step 6: Final answer
    x = 643.17

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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.