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Finding the Fourth Proportional to 784.11, 1,176.17 and 270.75

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Solution

The fourth proportional to 784.11, 1,176.17 and 270.75 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.11 : 1,176.17 = 270.75 : x
  2. Step 2: Convert to fraction form
    784.11/1,176.17 = 270.75/x
  3. Step 3: Cross multiply
    784.11x = 1,176.17 × 270.75
  4. Step 4: Simplify right side
    784.11x = 318,446.67
  5. Step 5: Solve for x
    x = 318,446.67/784.11
  6. Step 6: Final answer
    x = 406.13

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.