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Finding the Fourth Proportional to 509.74, 764.62 and 249.70

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Solution

The fourth proportional to 509.74, 764.62 and 249.70 is: 374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.74 : 764.62 = 249.70 : x
  2. Step 2: Convert to fraction form
    509.74/764.62 = 249.70/x
  3. Step 3: Cross multiply
    509.74x = 764.62 × 249.70
  4. Step 4: Simplify right side
    509.74x = 190,925.61
  5. Step 5: Solve for x
    x = 190,925.61/509.74
  6. Step 6: Final answer
    x = 374.55

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Double scale
Find fourth proportional to 510.74, 766.12 and 250.70
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.