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Finding the Fourth Proportional to 467.28, 695.14 and 462.64

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Solution

The fourth proportional to 467.28, 695.14 and 462.64 is: 688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.28 : 695.14 = 462.64 : x
  2. Step 2: Convert to fraction form
    467.28/695.14 = 462.64/x
  3. Step 3: Cross multiply
    467.28x = 695.14 × 462.64
  4. Step 4: Simplify right side
    467.28x = 321,599.57
  5. Step 5: Solve for x
    x = 321,599.57/467.28
  6. Step 6: Final answer
    x = 688.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.