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Finding the Fourth Proportional to 1,641.65, 2,265.77 and 978.54

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Solution

The fourth proportional to 1,641.65, 2,265.77 and 978.54 is: 1,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.65 : 2,265.77 = 978.54 : x
  2. Step 2: Convert to fraction form
    1,641.65/2,265.77 = 978.54/x
  3. Step 3: Cross multiply
    1,641.65x = 2,265.77 × 978.54
  4. Step 4: Simplify right side
    1,641.65x = 2,217,157.52
  5. Step 5: Solve for x
    x = 2,217,157.52/1,641.65
  6. Step 6: Final answer
    x = 1,350.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.