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Finding the Fourth Proportional to 637.59, 880.06 and 416.57

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Solution

The fourth proportional to 637.59, 880.06 and 416.57 is: 574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.59 : 880.06 = 416.57 : x
  2. Step 2: Convert to fraction form
    637.59/880.06 = 416.57/x
  3. Step 3: Cross multiply
    637.59x = 880.06 × 416.57
  4. Step 4: Simplify right side
    637.59x = 366,604.51
  5. Step 5: Solve for x
    x = 366,604.51/637.59
  6. Step 6: Final answer
    x = 574.99

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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.