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Finding the Fourth Proportional to 738.87, 1,108.86 and 277.10

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Solution

The fourth proportional to 738.87, 1,108.86 and 277.10 is: 415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.87 : 1,108.86 = 277.10 : x
  2. Step 2: Convert to fraction form
    738.87/1,108.86 = 277.10/x
  3. Step 3: Cross multiply
    738.87x = 1,108.86 × 277.10
  4. Step 4: Simplify right side
    738.87x = 307,267.88
  5. Step 5: Solve for x
    x = 307,267.88/738.87
  6. Step 6: Final answer
    x = 415.86

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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.