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Finding the Fourth Proportional to 706.91, 976.17 and 458.63

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Solution

The fourth proportional to 706.91, 976.17 and 458.63 is: 633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.91 : 976.17 = 458.63 : x
  2. Step 2: Convert to fraction form
    706.91/976.17 = 458.63/x
  3. Step 3: Cross multiply
    706.91x = 976.17 × 458.63
  4. Step 4: Simplify right side
    706.91x = 447,693.67
  5. Step 5: Solve for x
    x = 447,693.67/706.91
  6. Step 6: Final answer
    x = 633.32

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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.