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Finding the Fourth Proportional to 663.75, 917.73 and 589.77

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Solution

The fourth proportional to 663.75, 917.73 and 589.77 is: 815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.75 : 917.73 = 589.77 : x
  2. Step 2: Convert to fraction form
    663.75/917.73 = 589.77/x
  3. Step 3: Cross multiply
    663.75x = 917.73 × 589.77
  4. Step 4: Simplify right side
    663.75x = 541,249.62
  5. Step 5: Solve for x
    x = 541,249.62/663.75
  6. Step 6: Final answer
    x = 815.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.