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Finding the Fourth Proportional to 974.64, 1,460.82 and 540.92

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Solution

The fourth proportional to 974.64, 1,460.82 and 540.92 is: 810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.64 : 1,460.82 = 540.92 : x
  2. Step 2: Convert to fraction form
    974.64/1,460.82 = 540.92/x
  3. Step 3: Cross multiply
    974.64x = 1,460.82 × 540.92
  4. Step 4: Simplify right side
    974.64x = 790,186.75
  5. Step 5: Solve for x
    x = 790,186.75/974.64
  6. Step 6: Final answer
    x = 810.75

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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.