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Finding the Fourth Proportional to 463.64, 697.78 and 348.68

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Solution

The fourth proportional to 463.64, 697.78 and 348.68 is: 524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.64 : 697.78 = 348.68 : x
  2. Step 2: Convert to fraction form
    463.64/697.78 = 348.68/x
  3. Step 3: Cross multiply
    463.64x = 697.78 × 348.68
  4. Step 4: Simplify right side
    463.64x = 243,301.93
  5. Step 5: Solve for x
    x = 243,301.93/463.64
  6. Step 6: Final answer
    x = 524.76

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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.