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Finding the Fourth Proportional to 509.12, 766.67 and 365.84

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Solution

The fourth proportional to 509.12, 766.67 and 365.84 is: 550.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 766.67 = 365.84 : x
  2. Step 2: Convert to fraction form
    509.12/766.67 = 365.84/x
  3. Step 3: Cross multiply
    509.12x = 766.67 × 365.84
  4. Step 4: Simplify right side
    509.12x = 280,478.55
  5. Step 5: Solve for x
    x = 280,478.55/509.12
  6. Step 6: Final answer
    x = 550.91

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.