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Finding the Fourth Proportional to 553.82, 831.66 and 431.72

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Solution

The fourth proportional to 553.82, 831.66 and 431.72 is: 648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.82 : 831.66 = 431.72 : x
  2. Step 2: Convert to fraction form
    553.82/831.66 = 431.72/x
  3. Step 3: Cross multiply
    553.82x = 831.66 × 431.72
  4. Step 4: Simplify right side
    553.82x = 359,044.26
  5. Step 5: Solve for x
    x = 359,044.26/553.82
  6. Step 6: Final answer
    x = 648.30

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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.