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Finding the Fourth Proportional to 874.80, 1,310.68 and 730.32

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Solution

The fourth proportional to 874.80, 1,310.68 and 730.32 is: 1,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.80 : 1,310.68 = 730.32 : x
  2. Step 2: Convert to fraction form
    874.80/1,310.68 = 730.32/x
  3. Step 3: Cross multiply
    874.80x = 1,310.68 × 730.32
  4. Step 4: Simplify right side
    874.80x = 957,215.82
  5. Step 5: Solve for x
    x = 957,215.82/874.80
  6. Step 6: Final answer
    x = 1,094.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.