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Finding the Fourth Proportional to 637.78, 880.40 and 402.07

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Solution

The fourth proportional to 637.78, 880.40 and 402.07 is: 555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.78 : 880.40 = 402.07 : x
  2. Step 2: Convert to fraction form
    637.78/880.40 = 402.07/x
  3. Step 3: Cross multiply
    637.78x = 880.40 × 402.07
  4. Step 4: Simplify right side
    637.78x = 353,982.43
  5. Step 5: Solve for x
    x = 353,982.43/637.78
  6. Step 6: Final answer
    x = 555.02

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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.