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Finding the Fourth Proportional to 982.72, 1,353.02 and 916.48

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Solution

The fourth proportional to 982.72, 1,353.02 and 916.48 is: 1,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.72 : 1,353.02 = 916.48 : x
  2. Step 2: Convert to fraction form
    982.72/1,353.02 = 916.48/x
  3. Step 3: Cross multiply
    982.72x = 1,353.02 × 916.48
  4. Step 4: Simplify right side
    982.72x = 1,240,015.77
  5. Step 5: Solve for x
    x = 1,240,015.77/982.72
  6. Step 6: Final answer
    x = 1,261.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.