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Finding the Fourth Proportional to 974.56, 1,347.24 and 933.76

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Solution

The fourth proportional to 974.56, 1,347.24 and 933.76 is: 1,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.56 : 1,347.24 = 933.76 : x
  2. Step 2: Convert to fraction form
    974.56/1,347.24 = 933.76/x
  3. Step 3: Cross multiply
    974.56x = 1,347.24 × 933.76
  4. Step 4: Simplify right side
    974.56x = 1,257,998.82
  5. Step 5: Solve for x
    x = 1,257,998.82/974.56
  6. Step 6: Final answer
    x = 1,290.84

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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.