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Finding the Fourth Proportional to 809.52, 1,117.56 and 632.10

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Solution

The fourth proportional to 809.52, 1,117.56 and 632.10 is: 872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.52 : 1,117.56 = 632.10 : x
  2. Step 2: Convert to fraction form
    809.52/1,117.56 = 632.10/x
  3. Step 3: Cross multiply
    809.52x = 1,117.56 × 632.10
  4. Step 4: Simplify right side
    809.52x = 706,409.68
  5. Step 5: Solve for x
    x = 706,409.68/809.52
  6. Step 6: Final answer
    x = 872.63

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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.