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Finding the Fourth Proportional to 2,385.76, 3,578.70 and 654.28

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Solution

The fourth proportional to 2,385.76, 3,578.70 and 654.28 is: 981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.76 : 3,578.70 = 654.28 : x
  2. Step 2: Convert to fraction form
    2,385.76/3,578.70 = 654.28/x
  3. Step 3: Cross multiply
    2,385.76x = 3,578.70 × 654.28
  4. Step 4: Simplify right side
    2,385.76x = 2,341,471.84
  5. Step 5: Solve for x
    x = 2,341,471.84/2,385.76
  6. Step 6: Final answer
    x = 981.44

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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.