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Finding the Fourth Proportional to 581.32, 801.06 and 406.12

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Solution

The fourth proportional to 581.32, 801.06 and 406.12 is: 559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.32 : 801.06 = 406.12 : x
  2. Step 2: Convert to fraction form
    581.32/801.06 = 406.12/x
  3. Step 3: Cross multiply
    581.32x = 801.06 × 406.12
  4. Step 4: Simplify right side
    581.32x = 325,326.49
  5. Step 5: Solve for x
    x = 325,326.49/581.32
  6. Step 6: Final answer
    x = 559.63

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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.