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Finding the Fourth Proportional to 973.85, 1,461.01 and 324.59

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Solution

The fourth proportional to 973.85, 1,461.01 and 324.59 is: 486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.85 : 1,461.01 = 324.59 : x
  2. Step 2: Convert to fraction form
    973.85/1,461.01 = 324.59/x
  3. Step 3: Cross multiply
    973.85x = 1,461.01 × 324.59
  4. Step 4: Simplify right side
    973.85x = 474,229.24
  5. Step 5: Solve for x
    x = 474,229.24/973.85
  6. Step 6: Final answer
    x = 486.96

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Double scale
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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.