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Finding the Fourth Proportional to 809.70, 1,117.55 and 514.91

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Solution

The fourth proportional to 809.70, 1,117.55 and 514.91 is: 710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.70 : 1,117.55 = 514.91 : x
  2. Step 2: Convert to fraction form
    809.70/1,117.55 = 514.91/x
  3. Step 3: Cross multiply
    809.70x = 1,117.55 × 514.91
  4. Step 4: Simplify right side
    809.70x = 575,432.57
  5. Step 5: Solve for x
    x = 575,432.57/809.70
  6. Step 6: Final answer
    x = 710.68

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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.