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Finding the Fourth Proportional to 964.65, 1,331.20 and 522.56

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Solution

The fourth proportional to 964.65, 1,331.20 and 522.56 is: 721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.65 : 1,331.20 = 522.56 : x
  2. Step 2: Convert to fraction form
    964.65/1,331.20 = 522.56/x
  3. Step 3: Cross multiply
    964.65x = 1,331.20 × 522.56
  4. Step 4: Simplify right side
    964.65x = 695,633.89
  5. Step 5: Solve for x
    x = 695,633.89/964.65
  6. Step 6: Final answer
    x = 721.13

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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.