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Finding the Fourth Proportional to 2,385.80, 3,578.58 and 654.44

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Solution

The fourth proportional to 2,385.80, 3,578.58 and 654.44 is: 981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.80 : 3,578.58 = 654.44 : x
  2. Step 2: Convert to fraction form
    2,385.80/3,578.58 = 654.44/x
  3. Step 3: Cross multiply
    2,385.80x = 3,578.58 × 654.44
  4. Step 4: Simplify right side
    2,385.80x = 2,341,965.90
  5. Step 5: Solve for x
    x = 2,341,965.90/2,385.80
  6. Step 6: Final answer
    x = 981.63

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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.