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Finding the Fourth Proportional to 809.16, 1,117.18 and 526.12

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Solution

The fourth proportional to 809.16, 1,117.18 and 526.12 is: 726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.16 : 1,117.18 = 526.12 : x
  2. Step 2: Convert to fraction form
    809.16/1,117.18 = 526.12/x
  3. Step 3: Cross multiply
    809.16x = 1,117.18 × 526.12
  4. Step 4: Simplify right side
    809.16x = 587,770.74
  5. Step 5: Solve for x
    x = 587,770.74/809.16
  6. Step 6: Final answer
    x = 726.40

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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.