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Finding the Fourth Proportional to 438.30, 654.41 and 433.92

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Solution

The fourth proportional to 438.30, 654.41 and 433.92 is: 647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.30 : 654.41 = 433.92 : x
  2. Step 2: Convert to fraction form
    438.30/654.41 = 433.92/x
  3. Step 3: Cross multiply
    438.30x = 654.41 × 433.92
  4. Step 4: Simplify right side
    438.30x = 283,962.67
  5. Step 5: Solve for x
    x = 283,962.67/438.30
  6. Step 6: Final answer
    x = 647.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.