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Finding the Fourth Proportional to 663.57, 992.61 and 603.42

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Solution

The fourth proportional to 663.57, 992.61 and 603.42 is: 902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.57 : 992.61 = 603.42 : x
  2. Step 2: Convert to fraction form
    663.57/992.61 = 603.42/x
  3. Step 3: Cross multiply
    663.57x = 992.61 × 603.42
  4. Step 4: Simplify right side
    663.57x = 598,967.08
  5. Step 5: Solve for x
    x = 598,967.08/663.57
  6. Step 6: Final answer
    x = 902.65

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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.