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Finding the Fourth Proportional to 1,092.62, 1,637.76 and 433.58

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Solution

The fourth proportional to 1,092.62, 1,637.76 and 433.58 is: 649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.62 : 1,637.76 = 433.58 : x
  2. Step 2: Convert to fraction form
    1,092.62/1,637.76 = 433.58/x
  3. Step 3: Cross multiply
    1,092.62x = 1,637.76 × 433.58
  4. Step 4: Simplify right side
    1,092.62x = 710,106.63
  5. Step 5: Solve for x
    x = 710,106.63/1,092.62
  6. Step 6: Final answer
    x = 649.91

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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.