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Finding the Fourth Proportional to 1,122.97, 1,684.40 and 429.97

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Solution

The fourth proportional to 1,122.97, 1,684.40 and 429.97 is: 644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.97 : 1,684.40 = 429.97 : x
  2. Step 2: Convert to fraction form
    1,122.97/1,684.40 = 429.97/x
  3. Step 3: Cross multiply
    1,122.97x = 1,684.40 × 429.97
  4. Step 4: Simplify right side
    1,122.97x = 724,240.93
  5. Step 5: Solve for x
    x = 724,240.93/1,122.97
  6. Step 6: Final answer
    x = 644.93

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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.