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Finding the Fourth Proportional to 509.94, 764.91 and 144.75

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Solution

The fourth proportional to 509.94, 764.91 and 144.75 is: 217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 764.91 = 144.75 : x
  2. Step 2: Convert to fraction form
    509.94/764.91 = 144.75/x
  3. Step 3: Cross multiply
    509.94x = 764.91 × 144.75
  4. Step 4: Simplify right side
    509.94x = 110,720.72
  5. Step 5: Solve for x
    x = 110,720.72/509.94
  6. Step 6: Final answer
    x = 217.13

Related Problems

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Half scale
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Double scale
Find fourth proportional to 510.94, 766.41 and 145.75
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.