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Finding the Fourth Proportional to 968.87, 1,450.98 and 556.74

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Solution

The fourth proportional to 968.87, 1,450.98 and 556.74 is: 833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.87 : 1,450.98 = 556.74 : x
  2. Step 2: Convert to fraction form
    968.87/1,450.98 = 556.74/x
  3. Step 3: Cross multiply
    968.87x = 1,450.98 × 556.74
  4. Step 4: Simplify right side
    968.87x = 807,818.61
  5. Step 5: Solve for x
    x = 807,818.61/968.87
  6. Step 6: Final answer
    x = 833.78

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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.