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Finding the Fourth Proportional to 1,242.42, 1,714.44 and 718.49

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Solution

The fourth proportional to 1,242.42, 1,714.44 and 718.49 is: 991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.42 : 1,714.44 = 718.49 : x
  2. Step 2: Convert to fraction form
    1,242.42/1,714.44 = 718.49/x
  3. Step 3: Cross multiply
    1,242.42x = 1,714.44 × 718.49
  4. Step 4: Simplify right side
    1,242.42x = 1,231,795.83
  5. Step 5: Solve for x
    x = 1,231,795.83/1,242.42
  6. Step 6: Final answer
    x = 991.45

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1.5x scale

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.