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Finding the Fourth Proportional to 1,812.54, 2,718.78 and 579.93

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Solution

The fourth proportional to 1,812.54, 2,718.78 and 579.93 is: 869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.54 : 2,718.78 = 579.93 : x
  2. Step 2: Convert to fraction form
    1,812.54/2,718.78 = 579.93/x
  3. Step 3: Cross multiply
    1,812.54x = 2,718.78 × 579.93
  4. Step 4: Simplify right side
    1,812.54x = 1,576,702.09
  5. Step 5: Solve for x
    x = 1,576,702.09/1,812.54
  6. Step 6: Final answer
    x = 869.89

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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.