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Finding the Fourth Proportional to 508.71, 701.58 and 321.99

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Solution

The fourth proportional to 508.71, 701.58 and 321.99 is: 444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.71 : 701.58 = 321.99 : x
  2. Step 2: Convert to fraction form
    508.71/701.58 = 321.99/x
  3. Step 3: Cross multiply
    508.71x = 701.58 × 321.99
  4. Step 4: Simplify right side
    508.71x = 225,901.74
  5. Step 5: Solve for x
    x = 225,901.74/508.71
  6. Step 6: Final answer
    x = 444.07

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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.