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Finding the Fourth Proportional to 2,417.40, 3,625.74 and 773.78

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Solution

The fourth proportional to 2,417.40, 3,625.74 and 773.78 is: 1,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.40 : 3,625.74 = 773.78 : x
  2. Step 2: Convert to fraction form
    2,417.40/3,625.74 = 773.78/x
  3. Step 3: Cross multiply
    2,417.40x = 3,625.74 × 773.78
  4. Step 4: Simplify right side
    2,417.40x = 2,805,503.10
  5. Step 5: Solve for x
    x = 2,805,503.10/2,417.40
  6. Step 6: Final answer
    x = 1,160.55

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1.5x scale

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.