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Finding the Fourth Proportional to 978.68, 1,350.47 and 820.73

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Solution

The fourth proportional to 978.68, 1,350.47 and 820.73 is: 1,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.68 : 1,350.47 = 820.73 : x
  2. Step 2: Convert to fraction form
    978.68/1,350.47 = 820.73/x
  3. Step 3: Cross multiply
    978.68x = 1,350.47 × 820.73
  4. Step 4: Simplify right side
    978.68x = 1,108,376.67
  5. Step 5: Solve for x
    x = 1,108,376.67/978.68
  6. Step 6: Final answer
    x = 1,132.52

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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.