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Finding the Fourth Proportional to 994.14, 1,372.28 and 710.91

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Solution

The fourth proportional to 994.14, 1,372.28 and 710.91 is: 981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.14 : 1,372.28 = 710.91 : x
  2. Step 2: Convert to fraction form
    994.14/1,372.28 = 710.91/x
  3. Step 3: Cross multiply
    994.14x = 1,372.28 × 710.91
  4. Step 4: Simplify right side
    994.14x = 975,564.02
  5. Step 5: Solve for x
    x = 975,564.02/994.14
  6. Step 6: Final answer
    x = 981.31

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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.