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Finding the Fourth Proportional to 967.17, 1,449.54 and 637.91

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Solution

The fourth proportional to 967.17, 1,449.54 and 637.91 is: 956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.17 : 1,449.54 = 637.91 : x
  2. Step 2: Convert to fraction form
    967.17/1,449.54 = 637.91/x
  3. Step 3: Cross multiply
    967.17x = 1,449.54 × 637.91
  4. Step 4: Simplify right side
    967.17x = 924,668.81
  5. Step 5: Solve for x
    x = 924,668.81/967.17
  6. Step 6: Final answer
    x = 956.06

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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.