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Finding the Fourth Proportional to 637.48, 880.25 and 401.81

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Solution

The fourth proportional to 637.48, 880.25 and 401.81 is: 554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.48 : 880.25 = 401.81 : x
  2. Step 2: Convert to fraction form
    637.48/880.25 = 401.81/x
  3. Step 3: Cross multiply
    637.48x = 880.25 × 401.81
  4. Step 4: Simplify right side
    637.48x = 353,686.84
  5. Step 5: Solve for x
    x = 353,686.84/637.48
  6. Step 6: Final answer
    x = 554.82

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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.