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Finding the Fourth Proportional to 509.80, 703.47 and 288.74

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Solution

The fourth proportional to 509.80, 703.47 and 288.74 is: 398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.80 : 703.47 = 288.74 : x
  2. Step 2: Convert to fraction form
    509.80/703.47 = 288.74/x
  3. Step 3: Cross multiply
    509.80x = 703.47 × 288.74
  4. Step 4: Simplify right side
    509.80x = 203,116.41
  5. Step 5: Solve for x
    x = 203,116.41/509.80
  6. Step 6: Final answer
    x = 398.43

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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.