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Finding the Fourth Proportional to 813.72, 1,219.96 and 505.52

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Solution

The fourth proportional to 813.72, 1,219.96 and 505.52 is: 757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.72 : 1,219.96 = 505.52 : x
  2. Step 2: Convert to fraction form
    813.72/1,219.96 = 505.52/x
  3. Step 3: Cross multiply
    813.72x = 1,219.96 × 505.52
  4. Step 4: Simplify right side
    813.72x = 616,714.18
  5. Step 5: Solve for x
    x = 616,714.18/813.72
  6. Step 6: Final answer
    x = 757.89

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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.