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Finding the Fourth Proportional to 508.95, 764.65 and 326.70

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Solution

The fourth proportional to 508.95, 764.65 and 326.70 is: 490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.95 : 764.65 = 326.70 : x
  2. Step 2: Convert to fraction form
    508.95/764.65 = 326.70/x
  3. Step 3: Cross multiply
    508.95x = 764.65 × 326.70
  4. Step 4: Simplify right side
    508.95x = 249,811.16
  5. Step 5: Solve for x
    x = 249,811.16/508.95
  6. Step 6: Final answer
    x = 490.84

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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.