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Finding the Fourth Proportional to 972.97, 1,459.67 and 425.31

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Solution

The fourth proportional to 972.97, 1,459.67 and 425.31 is: 638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.97 : 1,459.67 = 425.31 : x
  2. Step 2: Convert to fraction form
    972.97/1,459.67 = 425.31/x
  3. Step 3: Cross multiply
    972.97x = 1,459.67 × 425.31
  4. Step 4: Simplify right side
    972.97x = 620,807.84
  5. Step 5: Solve for x
    x = 620,807.84/972.97
  6. Step 6: Final answer
    x = 638.06

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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.