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Finding the Fourth Proportional to 1,641.88, 2,265.64 and 978.60

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Solution

The fourth proportional to 1,641.88, 2,265.64 and 978.60 is: 1,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.88 : 2,265.64 = 978.60 : x
  2. Step 2: Convert to fraction form
    1,641.88/2,265.64 = 978.60/x
  3. Step 3: Cross multiply
    1,641.88x = 2,265.64 × 978.60
  4. Step 4: Simplify right side
    1,641.88x = 2,217,155.30
  5. Step 5: Solve for x
    x = 2,217,155.30/1,641.88
  6. Step 6: Final answer
    x = 1,350.38

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1.5x scale

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.