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Finding the Fourth Proportional to 824.45, 1,123.22 and 807.59

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Solution

The fourth proportional to 824.45, 1,123.22 and 807.59 is: 1,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.45 : 1,123.22 = 807.59 : x
  2. Step 2: Convert to fraction form
    824.45/1,123.22 = 807.59/x
  3. Step 3: Cross multiply
    824.45x = 1,123.22 × 807.59
  4. Step 4: Simplify right side
    824.45x = 907,101.24
  5. Step 5: Solve for x
    x = 907,101.24/824.45
  6. Step 6: Final answer
    x = 1,100.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.