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Finding the Fourth Proportional to 443.36, 663.96 and 431

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Solution

The fourth proportional to 443.36, 663.96 and 431 is: 645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.36 : 663.96 = 431 : x
  2. Step 2: Convert to fraction form
    443.36/663.96 = 431/x
  3. Step 3: Cross multiply
    443.36x = 663.96 × 431
  4. Step 4: Simplify right side
    443.36x = 286,166.76
  5. Step 5: Solve for x
    x = 286,166.76/443.36
  6. Step 6: Final answer
    x = 645.45

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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.