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Finding the Fourth Proportional to 509.83, 764.75 and 235.69

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Solution

The fourth proportional to 509.83, 764.75 and 235.69 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.83 : 764.75 = 235.69 : x
  2. Step 2: Convert to fraction form
    509.83/764.75 = 235.69/x
  3. Step 3: Cross multiply
    509.83x = 764.75 × 235.69
  4. Step 4: Simplify right side
    509.83x = 180,243.93
  5. Step 5: Solve for x
    x = 180,243.93/509.83
  6. Step 6: Final answer
    x = 353.54

Related Problems

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Double scale
Find fourth proportional to 510.83, 766.25 and 236.69
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.