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Finding the Fourth Proportional to 462.64, 696.28 and 347.68

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Solution

The fourth proportional to 462.64, 696.28 and 347.68 is: 523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.64 : 696.28 = 347.68 : x
  2. Step 2: Convert to fraction form
    462.64/696.28 = 347.68/x
  3. Step 3: Cross multiply
    462.64x = 696.28 × 347.68
  4. Step 4: Simplify right side
    462.64x = 242,082.63
  5. Step 5: Solve for x
    x = 242,082.63/462.64
  6. Step 6: Final answer
    x = 523.26

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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.