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Finding the Fourth Proportional to 982.25, 1,471.55 and 707.66

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Solution

The fourth proportional to 982.25, 1,471.55 and 707.66 is: 1,060.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.25 : 1,471.55 = 707.66 : x
  2. Step 2: Convert to fraction form
    982.25/1,471.55 = 707.66/x
  3. Step 3: Cross multiply
    982.25x = 1,471.55 × 707.66
  4. Step 4: Simplify right side
    982.25x = 1,041,353.53
  5. Step 5: Solve for x
    x = 1,041,353.53/982.25
  6. Step 6: Final answer
    x = 1,060.17

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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.