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Finding the Fourth Proportional to 977.67, 1,350.14 and 923.13

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Solution

The fourth proportional to 977.67, 1,350.14 and 923.13 is: 1,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.67 : 1,350.14 = 923.13 : x
  2. Step 2: Convert to fraction form
    977.67/1,350.14 = 923.13/x
  3. Step 3: Cross multiply
    977.67x = 1,350.14 × 923.13
  4. Step 4: Simplify right side
    977.67x = 1,246,350.12
  5. Step 5: Solve for x
    x = 1,246,350.12/977.67
  6. Step 6: Final answer
    x = 1,274.82

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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.