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Finding the Fourth Proportional to 662.77, 992.72 and 315.58

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Solution

The fourth proportional to 662.77, 992.72 and 315.58 is: 472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.77 : 992.72 = 315.58 : x
  2. Step 2: Convert to fraction form
    662.77/992.72 = 315.58/x
  3. Step 3: Cross multiply
    662.77x = 992.72 × 315.58
  4. Step 4: Simplify right side
    662.77x = 313,282.75
  5. Step 5: Solve for x
    x = 313,282.75/662.77
  6. Step 6: Final answer
    x = 472.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.