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Finding the Fourth Proportional to 994.72, 1,491.20 and 507.52

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Solution

The fourth proportional to 994.72, 1,491.20 and 507.52 is: 760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.72 : 1,491.20 = 507.52 : x
  2. Step 2: Convert to fraction form
    994.72/1,491.20 = 507.52/x
  3. Step 3: Cross multiply
    994.72x = 1,491.20 × 507.52
  4. Step 4: Simplify right side
    994.72x = 756,813.82
  5. Step 5: Solve for x
    x = 756,813.82/994.72
  6. Step 6: Final answer
    x = 760.83

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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.