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Finding the Fourth Proportional to 964.86, 1,331.49 and 522.75

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Solution

The fourth proportional to 964.86, 1,331.49 and 522.75 is: 721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.86 : 1,331.49 = 522.75 : x
  2. Step 2: Convert to fraction form
    964.86/1,331.49 = 522.75/x
  3. Step 3: Cross multiply
    964.86x = 1,331.49 × 522.75
  4. Step 4: Simplify right side
    964.86x = 696,036.40
  5. Step 5: Solve for x
    x = 696,036.40/964.86
  6. Step 6: Final answer
    x = 721.39

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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.