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Finding the Fourth Proportional to 498.62, 688.19 and 288.77

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Solution

The fourth proportional to 498.62, 688.19 and 288.77 is: 398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.62 : 688.19 = 288.77 : x
  2. Step 2: Convert to fraction form
    498.62/688.19 = 288.77/x
  3. Step 3: Cross multiply
    498.62x = 688.19 × 288.77
  4. Step 4: Simplify right side
    498.62x = 198,723.74
  5. Step 5: Solve for x
    x = 198,723.74/498.62
  6. Step 6: Final answer
    x = 398.55

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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.