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Finding the Fourth Proportional to 1,242.67, 1,714.93 and 711.65

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Solution

The fourth proportional to 1,242.67, 1,714.93 and 711.65 is: 982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.67 : 1,714.93 = 711.65 : x
  2. Step 2: Convert to fraction form
    1,242.67/1,714.93 = 711.65/x
  3. Step 3: Cross multiply
    1,242.67x = 1,714.93 × 711.65
  4. Step 4: Simplify right side
    1,242.67x = 1,220,419.88
  5. Step 5: Solve for x
    x = 1,220,419.88/1,242.67
  6. Step 6: Final answer
    x = 982.10

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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.