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Finding the Fourth Proportional to 661, 990.80 and 477.94

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Solution

The fourth proportional to 661, 990.80 and 477.94 is: 716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    661 : 990.80 = 477.94 : x
  2. Step 2: Convert to fraction form
    661/990.80 = 477.94/x
  3. Step 3: Cross multiply
    661x = 990.80 × 477.94
  4. Step 4: Simplify right side
    661x = 473,542.95
  5. Step 5: Solve for x
    x = 473,542.95/661
  6. Step 6: Final answer
    x = 716.40

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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.