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Finding the Fourth Proportional to 498.97, 688.41 and 312.34

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Solution

The fourth proportional to 498.97, 688.41 and 312.34 is: 430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.97 : 688.41 = 312.34 : x
  2. Step 2: Convert to fraction form
    498.97/688.41 = 312.34/x
  3. Step 3: Cross multiply
    498.97x = 688.41 × 312.34
  4. Step 4: Simplify right side
    498.97x = 215,017.98
  5. Step 5: Solve for x
    x = 215,017.98/498.97
  6. Step 6: Final answer
    x = 430.92

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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.