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Finding the Fourth Proportional to 467.42, 691.35 and 467.42

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Solution

The fourth proportional to 467.42, 691.35 and 467.42 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.42 : 691.35 = 467.42 : x
  2. Step 2: Convert to fraction form
    467.42/691.35 = 467.42/x
  3. Step 3: Cross multiply
    467.42x = 691.35 × 467.42
  4. Step 4: Simplify right side
    467.42x = 323,150.82
  5. Step 5: Solve for x
    x = 323,150.82/467.42
  6. Step 6: Final answer
    x = 691.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.