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Finding the Fourth Proportional to 508.03, 700.92 and 286.90

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Solution

The fourth proportional to 508.03, 700.92 and 286.90 is: 395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.03 : 700.92 = 286.90 : x
  2. Step 2: Convert to fraction form
    508.03/700.92 = 286.90/x
  3. Step 3: Cross multiply
    508.03x = 700.92 × 286.90
  4. Step 4: Simplify right side
    508.03x = 201,092.20
  5. Step 5: Solve for x
    x = 201,092.20/508.03
  6. Step 6: Final answer
    x = 395.83

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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.