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Finding the Fourth Proportional to 1,432.17, 1,975.46 and 908.91

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Solution

The fourth proportional to 1,432.17, 1,975.46 and 908.91 is: 1,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.17 : 1,975.46 = 908.91 : x
  2. Step 2: Convert to fraction form
    1,432.17/1,975.46 = 908.91/x
  3. Step 3: Cross multiply
    1,432.17x = 1,975.46 × 908.91
  4. Step 4: Simplify right side
    1,432.17x = 1,795,510.80
  5. Step 5: Solve for x
    x = 1,795,510.80/1,432.17
  6. Step 6: Final answer
    x = 1,253.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.