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Finding the Fourth Proportional to 509.80, 764.70 and 346.60

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Solution

The fourth proportional to 509.80, 764.70 and 346.60 is: 519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.80 : 764.70 = 346.60 : x
  2. Step 2: Convert to fraction form
    509.80/764.70 = 346.60/x
  3. Step 3: Cross multiply
    509.80x = 764.70 × 346.60
  4. Step 4: Simplify right side
    509.80x = 265,045.02
  5. Step 5: Solve for x
    x = 265,045.02/509.80
  6. Step 6: Final answer
    x = 519.90

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.