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Finding the Fourth Proportional to 662.53, 992.95 and 315.10

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Solution

The fourth proportional to 662.53, 992.95 and 315.10 is: 472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.53 : 992.95 = 315.10 : x
  2. Step 2: Convert to fraction form
    662.53/992.95 = 315.10/x
  3. Step 3: Cross multiply
    662.53x = 992.95 × 315.10
  4. Step 4: Simplify right side
    662.53x = 312,878.55
  5. Step 5: Solve for x
    x = 312,878.55/662.53
  6. Step 6: Final answer
    x = 472.25

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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.