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Finding the Fourth Proportional to 996.16, 1,372.76 and 747.76

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Solution

The fourth proportional to 996.16, 1,372.76 and 747.76 is: 1,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.16 : 1,372.76 = 747.76 : x
  2. Step 2: Convert to fraction form
    996.16/1,372.76 = 747.76/x
  3. Step 3: Cross multiply
    996.16x = 1,372.76 × 747.76
  4. Step 4: Simplify right side
    996.16x = 1,026,495.02
  5. Step 5: Solve for x
    x = 1,026,495.02/996.16
  6. Step 6: Final answer
    x = 1,030.45

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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.