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Finding the Fourth Proportional to 939.04, 1,400.55 and 824.22

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Solution

The fourth proportional to 939.04, 1,400.55 and 824.22 is: 1,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.04 : 1,400.55 = 824.22 : x
  2. Step 2: Convert to fraction form
    939.04/1,400.55 = 824.22/x
  3. Step 3: Cross multiply
    939.04x = 1,400.55 × 824.22
  4. Step 4: Simplify right side
    939.04x = 1,154,358.23
  5. Step 5: Solve for x
    x = 1,154,358.23/939.04
  6. Step 6: Final answer
    x = 1,229.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.