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Finding the Fourth Proportional to 809.52, 1,118 and 613.52

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Solution

The fourth proportional to 809.52, 1,118 and 613.52 is: 847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.52 : 1,118 = 613.52 : x
  2. Step 2: Convert to fraction form
    809.52/1,118 = 613.52/x
  3. Step 3: Cross multiply
    809.52x = 1,118 × 613.52
  4. Step 4: Simplify right side
    809.52x = 685,915.36
  5. Step 5: Solve for x
    x = 685,915.36/809.52
  6. Step 6: Final answer
    x = 847.31

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Double scale
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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.