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Finding the Fourth Proportional to 509.38, 764.24 and 461.18

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Solution

The fourth proportional to 509.38, 764.24 and 461.18 is: 691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.38 : 764.24 = 461.18 : x
  2. Step 2: Convert to fraction form
    509.38/764.24 = 461.18/x
  3. Step 3: Cross multiply
    509.38x = 764.24 × 461.18
  4. Step 4: Simplify right side
    509.38x = 352,451.81
  5. Step 5: Solve for x
    x = 352,451.81/509.38
  6. Step 6: Final answer
    x = 691.93

Related Problems

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Double scale
Find fourth proportional to 510.38, 765.74 and 462.18
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.