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Finding the Fourth Proportional to 1,738.10, 2,607.10 and 697.78

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Solution

The fourth proportional to 1,738.10, 2,607.10 and 697.78 is: 1,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.10 : 2,607.10 = 697.78 : x
  2. Step 2: Convert to fraction form
    1,738.10/2,607.10 = 697.78/x
  3. Step 3: Cross multiply
    1,738.10x = 2,607.10 × 697.78
  4. Step 4: Simplify right side
    1,738.10x = 1,819,182.24
  5. Step 5: Solve for x
    x = 1,819,182.24/1,738.10
  6. Step 6: Final answer
    x = 1,046.65

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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.