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Finding the Fourth Proportional to 471.95, 651.92 and 362.78

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Solution

The fourth proportional to 471.95, 651.92 and 362.78 is: 501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.95 : 651.92 = 362.78 : x
  2. Step 2: Convert to fraction form
    471.95/651.92 = 362.78/x
  3. Step 3: Cross multiply
    471.95x = 651.92 × 362.78
  4. Step 4: Simplify right side
    471.95x = 236,503.35
  5. Step 5: Solve for x
    x = 236,503.35/471.95
  6. Step 6: Final answer
    x = 501.12

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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.