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Finding the Fourth Proportional to 691.50, 955.08 and 458.22

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Solution

The fourth proportional to 691.50, 955.08 and 458.22 is: 632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.50 : 955.08 = 458.22 : x
  2. Step 2: Convert to fraction form
    691.50/955.08 = 458.22/x
  3. Step 3: Cross multiply
    691.50x = 955.08 × 458.22
  4. Step 4: Simplify right side
    691.50x = 437,636.76
  5. Step 5: Solve for x
    x = 437,636.76/691.50
  6. Step 6: Final answer
    x = 632.88

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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.