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Finding the Fourth Proportional to 935.35, 1,397.13 and 909.43

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Solution

The fourth proportional to 935.35, 1,397.13 and 909.43 is: 1,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.35 : 1,397.13 = 909.43 : x
  2. Step 2: Convert to fraction form
    935.35/1,397.13 = 909.43/x
  3. Step 3: Cross multiply
    935.35x = 1,397.13 × 909.43
  4. Step 4: Simplify right side
    935.35x = 1,270,591.94
  5. Step 5: Solve for x
    x = 1,270,591.94/935.35
  6. Step 6: Final answer
    x = 1,358.41

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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.