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Finding the Fourth Proportional to 1,160.71, 1,602.03 and 908.13

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Solution

The fourth proportional to 1,160.71, 1,602.03 and 908.13 is: 1,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.71 : 1,602.03 = 908.13 : x
  2. Step 2: Convert to fraction form
    1,160.71/1,602.03 = 908.13/x
  3. Step 3: Cross multiply
    1,160.71x = 1,602.03 × 908.13
  4. Step 4: Simplify right side
    1,160.71x = 1,454,847.50
  5. Step 5: Solve for x
    x = 1,454,847.50/1,160.71
  6. Step 6: Final answer
    x = 1,253.42

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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.