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Finding the Fourth Proportional to 580.95, 801.09 and 406.26

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Solution

The fourth proportional to 580.95, 801.09 and 406.26 is: 560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.95 : 801.09 = 406.26 : x
  2. Step 2: Convert to fraction form
    580.95/801.09 = 406.26/x
  3. Step 3: Cross multiply
    580.95x = 801.09 × 406.26
  4. Step 4: Simplify right side
    580.95x = 325,450.82
  5. Step 5: Solve for x
    x = 325,450.82/580.95
  6. Step 6: Final answer
    x = 560.20

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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.