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Finding the Fourth Proportional to 2,311.50, 3,467.00 and 580.13

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Solution

The fourth proportional to 2,311.50, 3,467.00 and 580.13 is: 870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.50 : 3,467.00 = 580.13 : x
  2. Step 2: Convert to fraction form
    2,311.50/3,467.00 = 580.13/x
  3. Step 3: Cross multiply
    2,311.50x = 3,467.00 × 580.13
  4. Step 4: Simplify right side
    2,311.50x = 2,011,290.47
  5. Step 5: Solve for x
    x = 2,011,290.47/2,311.50
  6. Step 6: Final answer
    x = 870.12

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1.5x scale

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.