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Finding the Fourth Proportional to 1,242.78, 1,714.91 and 711.69

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Solution

The fourth proportional to 1,242.78, 1,714.91 and 711.69 is: 982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.78 : 1,714.91 = 711.69 : x
  2. Step 2: Convert to fraction form
    1,242.78/1,714.91 = 711.69/x
  3. Step 3: Cross multiply
    1,242.78x = 1,714.91 × 711.69
  4. Step 4: Simplify right side
    1,242.78x = 1,220,480.74
  5. Step 5: Solve for x
    x = 1,220,480.74/1,242.78
  6. Step 6: Final answer
    x = 982.06

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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.