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Finding the Fourth Proportional to 809.85, 1,117.72 and 515.98

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Solution

The fourth proportional to 809.85, 1,117.72 and 515.98 is: 712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.85 : 1,117.72 = 515.98 : x
  2. Step 2: Convert to fraction form
    809.85/1,117.72 = 515.98/x
  3. Step 3: Cross multiply
    809.85x = 1,117.72 × 515.98
  4. Step 4: Simplify right side
    809.85x = 576,723.21
  5. Step 5: Solve for x
    x = 576,723.21/809.85
  6. Step 6: Final answer
    x = 712.13

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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.