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Finding the Fourth Proportional to 1,520.35, 2,278.69 and 697.49

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Solution

The fourth proportional to 1,520.35, 2,278.69 and 697.49 is: 1,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.35 : 2,278.69 = 697.49 : x
  2. Step 2: Convert to fraction form
    1,520.35/2,278.69 = 697.49/x
  3. Step 3: Cross multiply
    1,520.35x = 2,278.69 × 697.49
  4. Step 4: Simplify right side
    1,520.35x = 1,589,363.49
  5. Step 5: Solve for x
    x = 1,589,363.49/1,520.35
  6. Step 6: Final answer
    x = 1,045.39

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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.