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Finding the Fourth Proportional to 809.18, 1,116.67 and 477.61

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Solution

The fourth proportional to 809.18, 1,116.67 and 477.61 is: 659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.18 : 1,116.67 = 477.61 : x
  2. Step 2: Convert to fraction form
    809.18/1,116.67 = 477.61/x
  3. Step 3: Cross multiply
    809.18x = 1,116.67 × 477.61
  4. Step 4: Simplify right side
    809.18x = 533,332.76
  5. Step 5: Solve for x
    x = 533,332.76/809.18
  6. Step 6: Final answer
    x = 659.10

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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.