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Finding the Fourth Proportional to 695.55, 1,041.91 and 329.23

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Solution

The fourth proportional to 695.55, 1,041.91 and 329.23 is: 493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.55 : 1,041.91 = 329.23 : x
  2. Step 2: Convert to fraction form
    695.55/1,041.91 = 329.23/x
  3. Step 3: Cross multiply
    695.55x = 1,041.91 × 329.23
  4. Step 4: Simplify right side
    695.55x = 343,021.17
  5. Step 5: Solve for x
    x = 343,021.17/695.55
  6. Step 6: Final answer
    x = 493.17

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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.