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Finding the Fourth Proportional to 1,810.74, 2,715.92 and 579.03

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Solution

The fourth proportional to 1,810.74, 2,715.92 and 579.03 is: 868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.74 : 2,715.92 = 579.03 : x
  2. Step 2: Convert to fraction form
    1,810.74/2,715.92 = 579.03/x
  3. Step 3: Cross multiply
    1,810.74x = 2,715.92 × 579.03
  4. Step 4: Simplify right side
    1,810.74x = 1,572,599.16
  5. Step 5: Solve for x
    x = 1,572,599.16/1,810.74
  6. Step 6: Final answer
    x = 868.48

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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.