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Finding the Fourth Proportional to 509.43, 764.51 and 394.15

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Solution

The fourth proportional to 509.43, 764.51 and 394.15 is: 591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.43 : 764.51 = 394.15 : x
  2. Step 2: Convert to fraction form
    509.43/764.51 = 394.15/x
  3. Step 3: Cross multiply
    509.43x = 764.51 × 394.15
  4. Step 4: Simplify right side
    509.43x = 301,331.62
  5. Step 5: Solve for x
    x = 301,331.62/509.43
  6. Step 6: Final answer
    x = 591.51

Related Problems

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Half scale
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Double scale
Find fourth proportional to 510.43, 766.01 and 395.15
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.