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Finding the Fourth Proportional to 581.05, 801.38 and 475.95

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Solution

The fourth proportional to 581.05, 801.38 and 475.95 is: 656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.05 : 801.38 = 475.95 : x
  2. Step 2: Convert to fraction form
    581.05/801.38 = 475.95/x
  3. Step 3: Cross multiply
    581.05x = 801.38 × 475.95
  4. Step 4: Simplify right side
    581.05x = 381,418.00
  5. Step 5: Solve for x
    x = 381,418.00/581.05
  6. Step 6: Final answer
    x = 656.43

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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.