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Finding the Fourth Proportional to 830.76, 1,144.08 and 814.56

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Solution

The fourth proportional to 830.76, 1,144.08 and 814.56 is: 1,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.76 : 1,144.08 = 814.56 : x
  2. Step 2: Convert to fraction form
    830.76/1,144.08 = 814.56/x
  3. Step 3: Cross multiply
    830.76x = 1,144.08 × 814.56
  4. Step 4: Simplify right side
    830.76x = 931,921.80
  5. Step 5: Solve for x
    x = 931,921.80/830.76
  6. Step 6: Final answer
    x = 1,121.77

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Half scale
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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.