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Finding the Fourth Proportional to 706.64, 974.93 and 458.27

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Solution

The fourth proportional to 706.64, 974.93 and 458.27 is: 632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.64 : 974.93 = 458.27 : x
  2. Step 2: Convert to fraction form
    706.64/974.93 = 458.27/x
  3. Step 3: Cross multiply
    706.64x = 974.93 × 458.27
  4. Step 4: Simplify right side
    706.64x = 446,778.88
  5. Step 5: Solve for x
    x = 446,778.88/706.64
  6. Step 6: Final answer
    x = 632.26

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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.