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Finding the Fourth Proportional to 964.59, 1,331.13 and 522.49

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Solution

The fourth proportional to 964.59, 1,331.13 and 522.49 is: 721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.59 : 1,331.13 = 522.49 : x
  2. Step 2: Convert to fraction form
    964.59/1,331.13 = 522.49/x
  3. Step 3: Cross multiply
    964.59x = 1,331.13 × 522.49
  4. Step 4: Simplify right side
    964.59x = 695,502.11
  5. Step 5: Solve for x
    x = 695,502.11/964.59
  6. Step 6: Final answer
    x = 721.03

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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.