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Finding the Fourth Proportional to 809.05, 1,116.17 and 476.95

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Solution

The fourth proportional to 809.05, 1,116.17 and 476.95 is: 658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.05 : 1,116.17 = 476.95 : x
  2. Step 2: Convert to fraction form
    809.05/1,116.17 = 476.95/x
  3. Step 3: Cross multiply
    809.05x = 1,116.17 × 476.95
  4. Step 4: Simplify right side
    809.05x = 532,357.28
  5. Step 5: Solve for x
    x = 532,357.28/809.05
  6. Step 6: Final answer
    x = 658.00

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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.