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Finding the Fourth Proportional to 500.17, 750.53 and 305.41

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Solution

The fourth proportional to 500.17, 750.53 and 305.41 is: 458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.17 : 750.53 = 305.41 : x
  2. Step 2: Convert to fraction form
    500.17/750.53 = 305.41/x
  3. Step 3: Cross multiply
    500.17x = 750.53 × 305.41
  4. Step 4: Simplify right side
    500.17x = 229,217.84
  5. Step 5: Solve for x
    x = 229,217.84/500.17
  6. Step 6: Final answer
    x = 458.28

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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.