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Finding the Fourth Proportional to 465.42, 688.39 and 465.42

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Solution

The fourth proportional to 465.42, 688.39 and 465.42 is: 688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.42 : 688.39 = 465.42 : x
  2. Step 2: Convert to fraction form
    465.42/688.39 = 465.42/x
  3. Step 3: Cross multiply
    465.42x = 688.39 × 465.42
  4. Step 4: Simplify right side
    465.42x = 320,392.25
  5. Step 5: Solve for x
    x = 320,392.25/465.42
  6. Step 6: Final answer
    x = 688.39

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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.