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Finding the Fourth Proportional to 809.94, 1,117.08 and 515.40

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Solution

The fourth proportional to 809.94, 1,117.08 and 515.40 is: 710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.94 : 1,117.08 = 515.40 : x
  2. Step 2: Convert to fraction form
    809.94/1,117.08 = 515.40/x
  3. Step 3: Cross multiply
    809.94x = 1,117.08 × 515.40
  4. Step 4: Simplify right side
    809.94x = 575,743.03
  5. Step 5: Solve for x
    x = 575,743.03/809.94
  6. Step 6: Final answer
    x = 710.85

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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.