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Finding the Fourth Proportional to 508.18, 760.62 and 276.52

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Solution

The fourth proportional to 508.18, 760.62 and 276.52 is: 413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.18 : 760.62 = 276.52 : x
  2. Step 2: Convert to fraction form
    508.18/760.62 = 276.52/x
  3. Step 3: Cross multiply
    508.18x = 760.62 × 276.52
  4. Step 4: Simplify right side
    508.18x = 210,326.64
  5. Step 5: Solve for x
    x = 210,326.64/508.18
  6. Step 6: Final answer
    x = 413.88

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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.