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Finding the Fourth Proportional to 509.49, 764.88 and 327.69

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Solution

The fourth proportional to 509.49, 764.88 and 327.69 is: 491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 764.88 = 327.69 : x
  2. Step 2: Convert to fraction form
    509.49/764.88 = 327.69/x
  3. Step 3: Cross multiply
    509.49x = 764.88 × 327.69
  4. Step 4: Simplify right side
    509.49x = 250,643.53
  5. Step 5: Solve for x
    x = 250,643.53/509.49
  6. Step 6: Final answer
    x = 491.95

Related Problems

Find fourth proportional to 254.75, 382.44 and 163.85
Half scale
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Double scale
Find fourth proportional to 510.49, 766.38 and 328.69
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.