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Finding the Fourth Proportional to 819.19, 1,129.63 and 632.71

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Solution

The fourth proportional to 819.19, 1,129.63 and 632.71 is: 872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.19 : 1,129.63 = 632.71 : x
  2. Step 2: Convert to fraction form
    819.19/1,129.63 = 632.71/x
  3. Step 3: Cross multiply
    819.19x = 1,129.63 × 632.71
  4. Step 4: Simplify right side
    819.19x = 714,728.20
  5. Step 5: Solve for x
    x = 714,728.20/819.19
  6. Step 6: Final answer
    x = 872.48

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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.