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Finding the Fourth Proportional to 496.80, 686.88 and 342.72

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Solution

The fourth proportional to 496.80, 686.88 and 342.72 is: 473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.80 : 686.88 = 342.72 : x
  2. Step 2: Convert to fraction form
    496.80/686.88 = 342.72/x
  3. Step 3: Cross multiply
    496.80x = 686.88 × 342.72
  4. Step 4: Simplify right side
    496.80x = 235,407.51
  5. Step 5: Solve for x
    x = 235,407.51/496.80
  6. Step 6: Final answer
    x = 473.85

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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.