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Finding the Fourth Proportional to 440.82, 653.58 and 431.10

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Solution

The fourth proportional to 440.82, 653.58 and 431.10 is: 639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.82 : 653.58 = 431.10 : x
  2. Step 2: Convert to fraction form
    440.82/653.58 = 431.10/x
  3. Step 3: Cross multiply
    440.82x = 653.58 × 431.10
  4. Step 4: Simplify right side
    440.82x = 281,758.34
  5. Step 5: Solve for x
    x = 281,758.34/440.82
  6. Step 6: Final answer
    x = 639.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.