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Finding the Fourth Proportional to 650.54, 897.44 and 401.77

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Solution

The fourth proportional to 650.54, 897.44 and 401.77 is: 554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.54 : 897.44 = 401.77 : x
  2. Step 2: Convert to fraction form
    650.54/897.44 = 401.77/x
  3. Step 3: Cross multiply
    650.54x = 897.44 × 401.77
  4. Step 4: Simplify right side
    650.54x = 360,562.46
  5. Step 5: Solve for x
    x = 360,562.46/650.54
  6. Step 6: Final answer
    x = 554.25

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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.