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Finding the Fourth Proportional to 637.78, 880.14 and 389.02

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Solution

The fourth proportional to 637.78, 880.14 and 389.02 is: 536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.78 : 880.14 = 389.02 : x
  2. Step 2: Convert to fraction form
    637.78/880.14 = 389.02/x
  3. Step 3: Cross multiply
    637.78x = 880.14 × 389.02
  4. Step 4: Simplify right side
    637.78x = 342,392.06
  5. Step 5: Solve for x
    x = 342,392.06/637.78
  6. Step 6: Final answer
    x = 536.85

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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.