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Finding the Fourth Proportional to 1,765.23, 2,648.57 and 611.07

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Solution

The fourth proportional to 1,765.23, 2,648.57 and 611.07 is: 916.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.23 : 2,648.57 = 611.07 : x
  2. Step 2: Convert to fraction form
    1,765.23/2,648.57 = 611.07/x
  3. Step 3: Cross multiply
    1,765.23x = 2,648.57 × 611.07
  4. Step 4: Simplify right side
    1,765.23x = 1,618,458.61
  5. Step 5: Solve for x
    x = 1,618,458.61/1,765.23
  6. Step 6: Final answer
    x = 916.85

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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.