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Finding the Fourth Proportional to 1,242.24, 1,714.50 and 718.58

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Solution

The fourth proportional to 1,242.24, 1,714.50 and 718.58 is: 991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.24 : 1,714.50 = 718.58 : x
  2. Step 2: Convert to fraction form
    1,242.24/1,714.50 = 718.58/x
  3. Step 3: Cross multiply
    1,242.24x = 1,714.50 × 718.58
  4. Step 4: Simplify right side
    1,242.24x = 1,231,996.84
  5. Step 5: Solve for x
    x = 1,231,996.84/1,242.24
  6. Step 6: Final answer
    x = 991.75

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