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Finding the Fourth Proportional to 972.67, 1,341.40 and 724.61

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Solution

The fourth proportional to 972.67, 1,341.40 and 724.61 is: 999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.67 : 1,341.40 = 724.61 : x
  2. Step 2: Convert to fraction form
    972.67/1,341.40 = 724.61/x
  3. Step 3: Cross multiply
    972.67x = 1,341.40 × 724.61
  4. Step 4: Simplify right side
    972.67x = 971,991.85
  5. Step 5: Solve for x
    x = 971,991.85/972.67
  6. Step 6: Final answer
    x = 999.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.