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Finding the Fourth Proportional to 617.76, 926.10 and 276

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Solution

The fourth proportional to 617.76, 926.10 and 276 is: 413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.76 : 926.10 = 276 : x
  2. Step 2: Convert to fraction form
    617.76/926.10 = 276/x
  3. Step 3: Cross multiply
    617.76x = 926.10 × 276
  4. Step 4: Simplify right side
    617.76x = 255,603.60
  5. Step 5: Solve for x
    x = 255,603.60/617.76
  6. Step 6: Final answer
    x = 413.76

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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.