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Finding the Fourth Proportional to 1,310.92, 1,967.01 and 580.57

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Solution

The fourth proportional to 1,310.92, 1,967.01 and 580.57 is: 871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.92 : 1,967.01 = 580.57 : x
  2. Step 2: Convert to fraction form
    1,310.92/1,967.01 = 580.57/x
  3. Step 3: Cross multiply
    1,310.92x = 1,967.01 × 580.57
  4. Step 4: Simplify right side
    1,310.92x = 1,141,987.00
  5. Step 5: Solve for x
    x = 1,141,987.00/1,310.92
  6. Step 6: Final answer
    x = 871.13

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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.