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Finding the Fourth Proportional to 918.97, 1,377.29 and 430.95

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Solution

The fourth proportional to 918.97, 1,377.29 and 430.95 is: 645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.97 : 1,377.29 = 430.95 : x
  2. Step 2: Convert to fraction form
    918.97/1,377.29 = 430.95/x
  3. Step 3: Cross multiply
    918.97x = 1,377.29 × 430.95
  4. Step 4: Simplify right side
    918.97x = 593,537.14
  5. Step 5: Solve for x
    x = 593,537.14/918.97
  6. Step 6: Final answer
    x = 645.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.