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Finding the Fourth Proportional to 972.08, 1,458.52 and 539.20

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Solution

The fourth proportional to 972.08, 1,458.52 and 539.20 is: 809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.08 : 1,458.52 = 539.20 : x
  2. Step 2: Convert to fraction form
    972.08/1,458.52 = 539.20/x
  3. Step 3: Cross multiply
    972.08x = 1,458.52 × 539.20
  4. Step 4: Simplify right side
    972.08x = 786,433.98
  5. Step 5: Solve for x
    x = 786,433.98/972.08
  6. Step 6: Final answer
    x = 809.02

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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.