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Finding the Fourth Proportional to 663.75, 989.03 and 591.05

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Solution

The fourth proportional to 663.75, 989.03 and 591.05 is: 880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.75 : 989.03 = 591.05 : x
  2. Step 2: Convert to fraction form
    663.75/989.03 = 591.05/x
  3. Step 3: Cross multiply
    663.75x = 989.03 × 591.05
  4. Step 4: Simplify right side
    663.75x = 584,563.71
  5. Step 5: Solve for x
    x = 584,563.71/663.75
  6. Step 6: Final answer
    x = 880.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.