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Finding the Fourth Proportional to 994.32, 1,499.76 and 874.08

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Solution

The fourth proportional to 994.32, 1,499.76 and 874.08 is: 1,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.32 : 1,499.76 = 874.08 : x
  2. Step 2: Convert to fraction form
    994.32/1,499.76 = 874.08/x
  3. Step 3: Cross multiply
    994.32x = 1,499.76 × 874.08
  4. Step 4: Simplify right side
    994.32x = 1,310,910.22
  5. Step 5: Solve for x
    x = 1,310,910.22/994.32
  6. Step 6: Final answer
    x = 1,318.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.