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Finding the Fourth Proportional to 972.01, 1,455.99 and 725.57

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Solution

The fourth proportional to 972.01, 1,455.99 and 725.57 is: 1,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.01 : 1,455.99 = 725.57 : x
  2. Step 2: Convert to fraction form
    972.01/1,455.99 = 725.57/x
  3. Step 3: Cross multiply
    972.01x = 1,455.99 × 725.57
  4. Step 4: Simplify right side
    972.01x = 1,056,422.66
  5. Step 5: Solve for x
    x = 1,056,422.66/972.01
  6. Step 6: Final answer
    x = 1,086.84

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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.