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Finding the Fourth Proportional to 704.99, 972.97 and 508.62

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Solution

The fourth proportional to 704.99, 972.97 and 508.62 is: 701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.99 : 972.97 = 508.62 : x
  2. Step 2: Convert to fraction form
    704.99/972.97 = 508.62/x
  3. Step 3: Cross multiply
    704.99x = 972.97 × 508.62
  4. Step 4: Simplify right side
    704.99x = 494,874.38
  5. Step 5: Solve for x
    x = 494,874.38/704.99
  6. Step 6: Final answer
    x = 701.96

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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.