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Finding the Fourth Proportional to 978.67, 1,465.26 and 717.85

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Solution

The fourth proportional to 978.67, 1,465.26 and 717.85 is: 1,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.67 : 1,465.26 = 717.85 : x
  2. Step 2: Convert to fraction form
    978.67/1,465.26 = 717.85/x
  3. Step 3: Cross multiply
    978.67x = 1,465.26 × 717.85
  4. Step 4: Simplify right side
    978.67x = 1,051,836.89
  5. Step 5: Solve for x
    x = 1,051,836.89/978.67
  6. Step 6: Final answer
    x = 1,074.76

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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.