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Finding the Fourth Proportional to 1,723.81, 2,378.49 and 977.53

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Solution

The fourth proportional to 1,723.81, 2,378.49 and 977.53 is: 1,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.81 : 2,378.49 = 977.53 : x
  2. Step 2: Convert to fraction form
    1,723.81/2,378.49 = 977.53/x
  3. Step 3: Cross multiply
    1,723.81x = 2,378.49 × 977.53
  4. Step 4: Simplify right side
    1,723.81x = 2,325,045.33
  5. Step 5: Solve for x
    x = 2,325,045.33/1,723.81
  6. Step 6: Final answer
    x = 1,348.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.