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Finding the Fourth Proportional to 603.49, 903.08 and 522.61

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Solution

The fourth proportional to 603.49, 903.08 and 522.61 is: 782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.49 : 903.08 = 522.61 : x
  2. Step 2: Convert to fraction form
    603.49/903.08 = 522.61/x
  3. Step 3: Cross multiply
    603.49x = 903.08 × 522.61
  4. Step 4: Simplify right side
    603.49x = 471,956.03
  5. Step 5: Solve for x
    x = 471,956.03/603.49
  6. Step 6: Final answer
    x = 782.04

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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.