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Finding the Fourth Proportional to 507.99, 701.61 and 398.77

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Solution

The fourth proportional to 507.99, 701.61 and 398.77 is: 550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.99 : 701.61 = 398.77 : x
  2. Step 2: Convert to fraction form
    507.99/701.61 = 398.77/x
  3. Step 3: Cross multiply
    507.99x = 701.61 × 398.77
  4. Step 4: Simplify right side
    507.99x = 279,781.02
  5. Step 5: Solve for x
    x = 279,781.02/507.99
  6. Step 6: Final answer
    x = 550.76

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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.