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Finding the Fourth Proportional to 974.65, 1,462.56 and 389.55

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Solution

The fourth proportional to 974.65, 1,462.56 and 389.55 is: 584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.65 : 1,462.56 = 389.55 : x
  2. Step 2: Convert to fraction form
    974.65/1,462.56 = 389.55/x
  3. Step 3: Cross multiply
    974.65x = 1,462.56 × 389.55
  4. Step 4: Simplify right side
    974.65x = 569,740.25
  5. Step 5: Solve for x
    x = 569,740.25/974.65
  6. Step 6: Final answer
    x = 584.56

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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.