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Finding the Fourth Proportional to 972.30, 1,454.81 and 539.76

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Solution

The fourth proportional to 972.30, 1,454.81 and 539.76 is: 807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.30 : 1,454.81 = 539.76 : x
  2. Step 2: Convert to fraction form
    972.30/1,454.81 = 539.76/x
  3. Step 3: Cross multiply
    972.30x = 1,454.81 × 539.76
  4. Step 4: Simplify right side
    972.30x = 785,245.55
  5. Step 5: Solve for x
    x = 785,245.55/972.30
  6. Step 6: Final answer
    x = 807.62

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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.