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Finding the Fourth Proportional to 500.74, 749.16 and 305.71

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Solution

The fourth proportional to 500.74, 749.16 and 305.71 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.74 : 749.16 = 305.71 : x
  2. Step 2: Convert to fraction form
    500.74/749.16 = 305.71/x
  3. Step 3: Cross multiply
    500.74x = 749.16 × 305.71
  4. Step 4: Simplify right side
    500.74x = 229,023.83
  5. Step 5: Solve for x
    x = 229,023.83/500.74
  6. Step 6: Final answer
    x = 457.37

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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.