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Finding the Fourth Proportional to 985, 1,474.76 and 638.72

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Solution

The fourth proportional to 985, 1,474.76 and 638.72 is: 956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    985 : 1,474.76 = 638.72 : x
  2. Step 2: Convert to fraction form
    985/1,474.76 = 638.72/x
  3. Step 3: Cross multiply
    985x = 1,474.76 × 638.72
  4. Step 4: Simplify right side
    985x = 941,958.71
  5. Step 5: Solve for x
    x = 941,958.71/985
  6. Step 6: Final answer
    x = 956.30

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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.