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Finding the Fourth Proportional to 458.78, 628.22 and 433.80

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Solution

The fourth proportional to 458.78, 628.22 and 433.80 is: 594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.78 : 628.22 = 433.80 : x
  2. Step 2: Convert to fraction form
    458.78/628.22 = 433.80/x
  3. Step 3: Cross multiply
    458.78x = 628.22 × 433.80
  4. Step 4: Simplify right side
    458.78x = 272,521.84
  5. Step 5: Solve for x
    x = 272,521.84/458.78
  6. Step 6: Final answer
    x = 594.01

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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.