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Finding the Fourth Proportional to 601.82, 903.33 and 428.68

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Solution

The fourth proportional to 601.82, 903.33 and 428.68 is: 643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.82 : 903.33 = 428.68 : x
  2. Step 2: Convert to fraction form
    601.82/903.33 = 428.68/x
  3. Step 3: Cross multiply
    601.82x = 903.33 × 428.68
  4. Step 4: Simplify right side
    601.82x = 387,239.50
  5. Step 5: Solve for x
    x = 387,239.50/601.82
  6. Step 6: Final answer
    x = 643.45

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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.