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Finding the Fourth Proportional to 874.04, 1,309.62 and 580.88

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Solution

The fourth proportional to 874.04, 1,309.62 and 580.88 is: 870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.04 : 1,309.62 = 580.88 : x
  2. Step 2: Convert to fraction form
    874.04/1,309.62 = 580.88/x
  3. Step 3: Cross multiply
    874.04x = 1,309.62 × 580.88
  4. Step 4: Simplify right side
    874.04x = 760,732.07
  5. Step 5: Solve for x
    x = 760,732.07/874.04
  6. Step 6: Final answer
    x = 870.36

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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.