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Finding the Fourth Proportional to 663.35, 992.93 and 564.93

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Solution

The fourth proportional to 663.35, 992.93 and 564.93 is: 845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.35 : 992.93 = 564.93 : x
  2. Step 2: Convert to fraction form
    663.35/992.93 = 564.93/x
  3. Step 3: Cross multiply
    663.35x = 992.93 × 564.93
  4. Step 4: Simplify right side
    663.35x = 560,933.12
  5. Step 5: Solve for x
    x = 560,933.12/663.35
  6. Step 6: Final answer
    x = 845.61

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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.