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Finding the Fourth Proportional to 1,812.52, 2,718.76 and 580.04

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Solution

The fourth proportional to 1,812.52, 2,718.76 and 580.04 is: 870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.52 : 2,718.76 = 580.04 : x
  2. Step 2: Convert to fraction form
    1,812.52/2,718.76 = 580.04/x
  3. Step 3: Cross multiply
    1,812.52x = 2,718.76 × 580.04
  4. Step 4: Simplify right side
    1,812.52x = 1,576,989.55
  5. Step 5: Solve for x
    x = 1,576,989.55/1,812.52
  6. Step 6: Final answer
    x = 870.05

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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.