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Finding the Fourth Proportional to 507.42, 761.58 and 247.56

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Solution

The fourth proportional to 507.42, 761.58 and 247.56 is: 371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 761.58 = 247.56 : x
  2. Step 2: Convert to fraction form
    507.42/761.58 = 247.56/x
  3. Step 3: Cross multiply
    507.42x = 761.58 × 247.56
  4. Step 4: Simplify right side
    507.42x = 188,536.74
  5. Step 5: Solve for x
    x = 188,536.74/507.42
  6. Step 6: Final answer
    x = 371.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.