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Finding the Fourth Proportional to 463.39, 697.78 and 342.51

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Solution

The fourth proportional to 463.39, 697.78 and 342.51 is: 515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.39 : 697.78 = 342.51 : x
  2. Step 2: Convert to fraction form
    463.39/697.78 = 342.51/x
  3. Step 3: Cross multiply
    463.39x = 697.78 × 342.51
  4. Step 4: Simplify right side
    463.39x = 238,996.63
  5. Step 5: Solve for x
    x = 238,996.63/463.39
  6. Step 6: Final answer
    x = 515.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.