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Finding the Fourth Proportional to 465.62, 645.48 and 442.17

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Solution

The fourth proportional to 465.62, 645.48 and 442.17 is: 612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.62 : 645.48 = 442.17 : x
  2. Step 2: Convert to fraction form
    465.62/645.48 = 442.17/x
  3. Step 3: Cross multiply
    465.62x = 645.48 × 442.17
  4. Step 4: Simplify right side
    465.62x = 285,411.89
  5. Step 5: Solve for x
    x = 285,411.89/465.62
  6. Step 6: Final answer
    x = 612.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.