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Finding the Fourth Proportional to 507.82, 758.02 and 436.14

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Solution

The fourth proportional to 507.82, 758.02 and 436.14 is: 651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.82 : 758.02 = 436.14 : x
  2. Step 2: Convert to fraction form
    507.82/758.02 = 436.14/x
  3. Step 3: Cross multiply
    507.82x = 758.02 × 436.14
  4. Step 4: Simplify right side
    507.82x = 330,600.66
  5. Step 5: Solve for x
    x = 330,600.66/507.82
  6. Step 6: Final answer
    x = 651.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.