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Finding the Fourth Proportional to 809.35, 1,117.66 and 526.26

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Solution

The fourth proportional to 809.35, 1,117.66 and 526.26 is: 726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.35 : 1,117.66 = 526.26 : x
  2. Step 2: Convert to fraction form
    809.35/1,117.66 = 526.26/x
  3. Step 3: Cross multiply
    809.35x = 1,117.66 × 526.26
  4. Step 4: Simplify right side
    809.35x = 588,179.75
  5. Step 5: Solve for x
    x = 588,179.75/809.35
  6. Step 6: Final answer
    x = 726.73

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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.