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Finding the Fourth Proportional to 918.97, 1,370.21 and 902.57

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Solution

The fourth proportional to 918.97, 1,370.21 and 902.57 is: 1,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.97 : 1,370.21 = 902.57 : x
  2. Step 2: Convert to fraction form
    918.97/1,370.21 = 902.57/x
  3. Step 3: Cross multiply
    918.97x = 1,370.21 × 902.57
  4. Step 4: Simplify right side
    918.97x = 1,236,704.15
  5. Step 5: Solve for x
    x = 1,236,704.15/918.97
  6. Step 6: Final answer
    x = 1,345.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.