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Finding the Fourth Proportional to 440.17, 603.78 and 431.06

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Solution

The fourth proportional to 440.17, 603.78 and 431.06 is: 591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.17 : 603.78 = 431.06 : x
  2. Step 2: Convert to fraction form
    440.17/603.78 = 431.06/x
  3. Step 3: Cross multiply
    440.17x = 603.78 × 431.06
  4. Step 4: Simplify right side
    440.17x = 260,262.39
  5. Step 5: Solve for x
    x = 260,262.39/440.17
  6. Step 6: Final answer
    x = 591.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.