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Finding the Fourth Proportional to 509.92, 703.75 and 288.89

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Solution

The fourth proportional to 509.92, 703.75 and 288.89 is: 398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 703.75 = 288.89 : x
  2. Step 2: Convert to fraction form
    509.92/703.75 = 288.89/x
  3. Step 3: Cross multiply
    509.92x = 703.75 × 288.89
  4. Step 4: Simplify right side
    509.92x = 203,306.34
  5. Step 5: Solve for x
    x = 203,306.34/509.92
  6. Step 6: Final answer
    x = 398.70

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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.