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Finding the Fourth Proportional to 661.16, 990.41 and 314.83

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Solution

The fourth proportional to 661.16, 990.41 and 314.83 is: 471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.16 : 990.41 = 314.83 : x
  2. Step 2: Convert to fraction form
    661.16/990.41 = 314.83/x
  3. Step 3: Cross multiply
    661.16x = 990.41 × 314.83
  4. Step 4: Simplify right side
    661.16x = 311,805.83
  5. Step 5: Solve for x
    x = 311,805.83/661.16
  6. Step 6: Final answer
    x = 471.61

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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.