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Finding the Fourth Proportional to 2,040.65, 3,060.65 and 579.91

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Solution

The fourth proportional to 2,040.65, 3,060.65 and 579.91 is: 869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.65 : 3,060.65 = 579.91 : x
  2. Step 2: Convert to fraction form
    2,040.65/3,060.65 = 579.91/x
  3. Step 3: Cross multiply
    2,040.65x = 3,060.65 × 579.91
  4. Step 4: Simplify right side
    2,040.65x = 1,774,895.34
  5. Step 5: Solve for x
    x = 1,774,895.34/2,040.65
  6. Step 6: Final answer
    x = 869.77

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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.