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Finding the Fourth Proportional to 509.70, 759.18 and 486

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Solution

The fourth proportional to 509.70, 759.18 and 486 is: 723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.70 : 759.18 = 486 : x
  2. Step 2: Convert to fraction form
    509.70/759.18 = 486/x
  3. Step 3: Cross multiply
    509.70x = 759.18 × 486
  4. Step 4: Simplify right side
    509.70x = 368,961.48
  5. Step 5: Solve for x
    x = 368,961.48/509.70
  6. Step 6: Final answer
    x = 723.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.