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Finding the Fourth Proportional to 954.14, 1,314.87 and 677.66

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Solution

The fourth proportional to 954.14, 1,314.87 and 677.66 is: 933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.14 : 1,314.87 = 677.66 : x
  2. Step 2: Convert to fraction form
    954.14/1,314.87 = 677.66/x
  3. Step 3: Cross multiply
    954.14x = 1,314.87 × 677.66
  4. Step 4: Simplify right side
    954.14x = 891,034.80
  5. Step 5: Solve for x
    x = 891,034.80/954.14
  6. Step 6: Final answer
    x = 933.86

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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.