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Finding the Fourth Proportional to 550.26, 760.32 and 433.17

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Solution

The fourth proportional to 550.26, 760.32 and 433.17 is: 598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.26 : 760.32 = 433.17 : x
  2. Step 2: Convert to fraction form
    550.26/760.32 = 433.17/x
  3. Step 3: Cross multiply
    550.26x = 760.32 × 433.17
  4. Step 4: Simplify right side
    550.26x = 329,346.97
  5. Step 5: Solve for x
    x = 329,346.97/550.26
  6. Step 6: Final answer
    x = 598.53

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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.