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Finding the Fourth Proportional to 902.60, 1,238.23 and 846.72

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Solution

The fourth proportional to 902.60, 1,238.23 and 846.72 is: 1,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.60 : 1,238.23 = 846.72 : x
  2. Step 2: Convert to fraction form
    902.60/1,238.23 = 846.72/x
  3. Step 3: Cross multiply
    902.60x = 1,238.23 × 846.72
  4. Step 4: Simplify right side
    902.60x = 1,048,434.11
  5. Step 5: Solve for x
    x = 1,048,434.11/902.60
  6. Step 6: Final answer
    x = 1,161.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.