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Finding the Fourth Proportional to 603.82, 906.54 and 522.82

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Solution

The fourth proportional to 603.82, 906.54 and 522.82 is: 784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.82 : 906.54 = 522.82 : x
  2. Step 2: Convert to fraction form
    603.82/906.54 = 522.82/x
  3. Step 3: Cross multiply
    603.82x = 906.54 × 522.82
  4. Step 4: Simplify right side
    603.82x = 473,957.24
  5. Step 5: Solve for x
    x = 473,957.24/603.82
  6. Step 6: Final answer
    x = 784.93

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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.