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Finding the Fourth Proportional to 964.38, 1,330.85 and 522.28

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Solution

The fourth proportional to 964.38, 1,330.85 and 522.28 is: 720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.38 : 1,330.85 = 522.28 : x
  2. Step 2: Convert to fraction form
    964.38/1,330.85 = 522.28/x
  3. Step 3: Cross multiply
    964.38x = 1,330.85 × 522.28
  4. Step 4: Simplify right side
    964.38x = 695,073.73
  5. Step 5: Solve for x
    x = 695,073.73/964.38
  6. Step 6: Final answer
    x = 720.75

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Double scale
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1.5x scale

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.