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Finding the Fourth Proportional to 637.64, 880.00 and 357.94

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Solution

The fourth proportional to 637.64, 880.00 and 357.94 is: 493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.64 : 880.00 = 357.94 : x
  2. Step 2: Convert to fraction form
    637.64/880.00 = 357.94/x
  3. Step 3: Cross multiply
    637.64x = 880.00 × 357.94
  4. Step 4: Simplify right side
    637.64x = 314,987.41
  5. Step 5: Solve for x
    x = 314,987.41/637.64
  6. Step 6: Final answer
    x = 493.99

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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.