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Finding the Fourth Proportional to 509.08, 763.57 and 345.60

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Solution

The fourth proportional to 509.08, 763.57 and 345.60 is: 518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.08 : 763.57 = 345.60 : x
  2. Step 2: Convert to fraction form
    509.08/763.57 = 345.60/x
  3. Step 3: Cross multiply
    509.08x = 763.57 × 345.60
  4. Step 4: Simplify right side
    509.08x = 263,891.70
  5. Step 5: Solve for x
    x = 263,891.70/509.08
  6. Step 6: Final answer
    x = 518.37

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Double scale
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1.5x scale

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.