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Finding the Fourth Proportional to 508.87, 701.87 and 331.50

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Solution

The fourth proportional to 508.87, 701.87 and 331.50 is: 457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.87 : 701.87 = 331.50 : x
  2. Step 2: Convert to fraction form
    508.87/701.87 = 331.50/x
  3. Step 3: Cross multiply
    508.87x = 701.87 × 331.50
  4. Step 4: Simplify right side
    508.87x = 232,669.91
  5. Step 5: Solve for x
    x = 232,669.91/508.87
  6. Step 6: Final answer
    x = 457.23

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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.