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Finding the Fourth Proportional to 602.26, 903.08 and 428.83

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Solution

The fourth proportional to 602.26, 903.08 and 428.83 is: 643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.26 : 903.08 = 428.83 : x
  2. Step 2: Convert to fraction form
    602.26/903.08 = 428.83/x
  3. Step 3: Cross multiply
    602.26x = 903.08 × 428.83
  4. Step 4: Simplify right side
    602.26x = 387,266.61
  5. Step 5: Solve for x
    x = 387,266.61/602.26
  6. Step 6: Final answer
    x = 643.02

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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.