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Finding the Fourth Proportional to 557.75, 838.16 and 297.95

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Solution

The fourth proportional to 557.75, 838.16 and 297.95 is: 447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.75 : 838.16 = 297.95 : x
  2. Step 2: Convert to fraction form
    557.75/838.16 = 297.95/x
  3. Step 3: Cross multiply
    557.75x = 838.16 × 297.95
  4. Step 4: Simplify right side
    557.75x = 249,725.21
  5. Step 5: Solve for x
    x = 249,725.21/557.75
  6. Step 6: Final answer
    x = 447.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.