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Finding the Fourth Proportional to 498.72, 688.27 and 288.95

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Solution

The fourth proportional to 498.72, 688.27 and 288.95 is: 398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.72 : 688.27 = 288.95 : x
  2. Step 2: Convert to fraction form
    498.72/688.27 = 288.95/x
  3. Step 3: Cross multiply
    498.72x = 688.27 × 288.95
  4. Step 4: Simplify right side
    498.72x = 198,875.62
  5. Step 5: Solve for x
    x = 198,875.62/498.72
  6. Step 6: Final answer
    x = 398.77

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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.