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Finding the Fourth Proportional to 824.20, 1,136.32 and 635.32

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Solution

The fourth proportional to 824.20, 1,136.32 and 635.32 is: 875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.20 : 1,136.32 = 635.32 : x
  2. Step 2: Convert to fraction form
    824.20/1,136.32 = 635.32/x
  3. Step 3: Cross multiply
    824.20x = 1,136.32 × 635.32
  4. Step 4: Simplify right side
    824.20x = 721,926.82
  5. Step 5: Solve for x
    x = 721,926.82/824.20
  6. Step 6: Final answer
    x = 875.91

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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.