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Finding the Fourth Proportional to 974.26, 1,461.40 and 324.98

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Solution

The fourth proportional to 974.26, 1,461.40 and 324.98 is: 487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.26 : 1,461.40 = 324.98 : x
  2. Step 2: Convert to fraction form
    974.26/1,461.40 = 324.98/x
  3. Step 3: Cross multiply
    974.26x = 1,461.40 × 324.98
  4. Step 4: Simplify right side
    974.26x = 474,917.65
  5. Step 5: Solve for x
    x = 474,917.65/974.26
  6. Step 6: Final answer
    x = 487.47

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Double scale
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1.5x scale

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.