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Finding the Fourth Proportional to 508.06, 760.65 and 379.90

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Solution

The fourth proportional to 508.06, 760.65 and 379.90 is: 568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.06 : 760.65 = 379.90 : x
  2. Step 2: Convert to fraction form
    508.06/760.65 = 379.90/x
  3. Step 3: Cross multiply
    508.06x = 760.65 × 379.90
  4. Step 4: Simplify right side
    508.06x = 288,970.94
  5. Step 5: Solve for x
    x = 288,970.94/508.06
  6. Step 6: Final answer
    x = 568.77

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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.