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Finding the Fourth Proportional to 1,217.49, 1,678.17 and 951.47

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Solution

The fourth proportional to 1,217.49, 1,678.17 and 951.47 is: 1,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.49 : 1,678.17 = 951.47 : x
  2. Step 2: Convert to fraction form
    1,217.49/1,678.17 = 951.47/x
  3. Step 3: Cross multiply
    1,217.49x = 1,678.17 × 951.47
  4. Step 4: Simplify right side
    1,217.49x = 1,596,728.41
  5. Step 5: Solve for x
    x = 1,596,728.41/1,217.49
  6. Step 6: Final answer
    x = 1,311.49

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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.