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Finding the Fourth Proportional to 1,092.71, 1,638.72 and 434.33

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Solution

The fourth proportional to 1,092.71, 1,638.72 and 434.33 is: 651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.71 : 1,638.72 = 434.33 : x
  2. Step 2: Convert to fraction form
    1,092.71/1,638.72 = 434.33/x
  3. Step 3: Cross multiply
    1,092.71x = 1,638.72 × 434.33
  4. Step 4: Simplify right side
    1,092.71x = 711,737.06
  5. Step 5: Solve for x
    x = 711,737.06/1,092.71
  6. Step 6: Final answer
    x = 651.35

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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.