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Finding the Fourth Proportional to 964.57, 1,331.13 and 591.75

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Solution

The fourth proportional to 964.57, 1,331.13 and 591.75 is: 816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.57 : 1,331.13 = 591.75 : x
  2. Step 2: Convert to fraction form
    964.57/1,331.13 = 591.75/x
  3. Step 3: Cross multiply
    964.57x = 1,331.13 × 591.75
  4. Step 4: Simplify right side
    964.57x = 787,686.56
  5. Step 5: Solve for x
    x = 787,686.56/964.57
  6. Step 6: Final answer
    x = 816.62

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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.