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Finding the Fourth Proportional to 508.32, 700.24 and 391.84

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Solution

The fourth proportional to 508.32, 700.24 and 391.84 is: 539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.32 : 700.24 = 391.84 : x
  2. Step 2: Convert to fraction form
    508.32/700.24 = 391.84/x
  3. Step 3: Cross multiply
    508.32x = 700.24 × 391.84
  4. Step 4: Simplify right side
    508.32x = 274,382.04
  5. Step 5: Solve for x
    x = 274,382.04/508.32
  6. Step 6: Final answer
    x = 539.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.