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Finding the Fourth Proportional to 972.91, 1,454.13 and 895.08

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Solution

The fourth proportional to 972.91, 1,454.13 and 895.08 is: 1,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.91 : 1,454.13 = 895.08 : x
  2. Step 2: Convert to fraction form
    972.91/1,454.13 = 895.08/x
  3. Step 3: Cross multiply
    972.91x = 1,454.13 × 895.08
  4. Step 4: Simplify right side
    972.91x = 1,301,553.35
  5. Step 5: Solve for x
    x = 1,301,553.35/972.91
  6. Step 6: Final answer
    x = 1,337.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.