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Finding the Fourth Proportional to 966.17, 1,448.49 and 417.97

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Solution

The fourth proportional to 966.17, 1,448.49 and 417.97 is: 626.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.17 : 1,448.49 = 417.97 : x
  2. Step 2: Convert to fraction form
    966.17/1,448.49 = 417.97/x
  3. Step 3: Cross multiply
    966.17x = 1,448.49 × 417.97
  4. Step 4: Simplify right side
    966.17x = 605,421.74
  5. Step 5: Solve for x
    x = 605,421.74/966.17
  6. Step 6: Final answer
    x = 626.62

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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.