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Finding the Fourth Proportional to 471.61, 650.55 and 324.01

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Solution

The fourth proportional to 471.61, 650.55 and 324.01 is: 446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.61 : 650.55 = 324.01 : x
  2. Step 2: Convert to fraction form
    471.61/650.55 = 324.01/x
  3. Step 3: Cross multiply
    471.61x = 650.55 × 324.01
  4. Step 4: Simplify right side
    471.61x = 210,784.71
  5. Step 5: Solve for x
    x = 210,784.71/471.61
  6. Step 6: Final answer
    x = 446.95

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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.