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Finding the Fourth Proportional to 1,242.64, 1,714.73 and 711.41

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Solution

The fourth proportional to 1,242.64, 1,714.73 and 711.41 is: 981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.64 : 1,714.73 = 711.41 : x
  2. Step 2: Convert to fraction form
    1,242.64/1,714.73 = 711.41/x
  3. Step 3: Cross multiply
    1,242.64x = 1,714.73 × 711.41
  4. Step 4: Simplify right side
    1,242.64x = 1,219,876.07
  5. Step 5: Solve for x
    x = 1,219,876.07/1,242.64
  6. Step 6: Final answer
    x = 981.68

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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.