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Finding the Fourth Proportional to 1,185.73, 1,637.07 and 1,061.17

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Solution

The fourth proportional to 1,185.73, 1,637.07 and 1,061.17 is: 1,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.73 : 1,637.07 = 1,061.17 : x
  2. Step 2: Convert to fraction form
    1,185.73/1,637.07 = 1,061.17/x
  3. Step 3: Cross multiply
    1,185.73x = 1,637.07 × 1,061.17
  4. Step 4: Simplify right side
    1,185.73x = 1,737,213.61
  5. Step 5: Solve for x
    x = 1,737,213.61/1,185.73
  6. Step 6: Final answer
    x = 1,465.11

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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.