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Finding the Fourth Proportional to 902.61, 1,349.73 and 656.57

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Solution

The fourth proportional to 902.61, 1,349.73 and 656.57 is: 981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.61 : 1,349.73 = 656.57 : x
  2. Step 2: Convert to fraction form
    902.61/1,349.73 = 656.57/x
  3. Step 3: Cross multiply
    902.61x = 1,349.73 × 656.57
  4. Step 4: Simplify right side
    902.61x = 886,195.60
  5. Step 5: Solve for x
    x = 886,195.60/902.61
  6. Step 6: Final answer
    x = 981.81

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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.