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Finding the Fourth Proportional to 695.22, 1,041.87 and 406.26

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Solution

The fourth proportional to 695.22, 1,041.87 and 406.26 is: 608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.22 : 1,041.87 = 406.26 : x
  2. Step 2: Convert to fraction form
    695.22/1,041.87 = 406.26/x
  3. Step 3: Cross multiply
    695.22x = 1,041.87 × 406.26
  4. Step 4: Simplify right side
    695.22x = 423,270.11
  5. Step 5: Solve for x
    x = 423,270.11/695.22
  6. Step 6: Final answer
    x = 608.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.