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Finding the Fourth Proportional to 508.89, 704.12 and 443.53

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Solution

The fourth proportional to 508.89, 704.12 and 443.53 is: 613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.89 : 704.12 = 443.53 : x
  2. Step 2: Convert to fraction form
    508.89/704.12 = 443.53/x
  3. Step 3: Cross multiply
    508.89x = 704.12 × 443.53
  4. Step 4: Simplify right side
    508.89x = 312,298.34
  5. Step 5: Solve for x
    x = 312,298.34/508.89
  6. Step 6: Final answer
    x = 613.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.