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Finding the Fourth Proportional to 966.76, 1,334.12 and 524.65

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Solution

The fourth proportional to 966.76, 1,334.12 and 524.65 is: 724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.76 : 1,334.12 = 524.65 : x
  2. Step 2: Convert to fraction form
    966.76/1,334.12 = 524.65/x
  3. Step 3: Cross multiply
    966.76x = 1,334.12 × 524.65
  4. Step 4: Simplify right side
    966.76x = 699,940.10
  5. Step 5: Solve for x
    x = 699,940.10/966.76
  6. Step 6: Final answer
    x = 724.01

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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.