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Finding the Fourth Proportional to 500.67, 749.97 and 294.60

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Solution

The fourth proportional to 500.67, 749.97 and 294.60 is: 441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.67 : 749.97 = 294.60 : x
  2. Step 2: Convert to fraction form
    500.67/749.97 = 294.60/x
  3. Step 3: Cross multiply
    500.67x = 749.97 × 294.60
  4. Step 4: Simplify right side
    500.67x = 220,943.97
  5. Step 5: Solve for x
    x = 220,943.97/500.67
  6. Step 6: Final answer
    x = 441.30

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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.