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Finding the Fourth Proportional to 1,722.42, 2,377 and 976.40

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Solution

The fourth proportional to 1,722.42, 2,377 and 976.40 is: 1,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.42 : 2,377 = 976.40 : x
  2. Step 2: Convert to fraction form
    1,722.42/2,377 = 976.40/x
  3. Step 3: Cross multiply
    1,722.42x = 2,377 × 976.40
  4. Step 4: Simplify right side
    1,722.42x = 2,320,902.80
  5. Step 5: Solve for x
    x = 2,320,902.80/1,722.42
  6. Step 6: Final answer
    x = 1,347.47

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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.