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Finding the Fourth Proportional to 661.52, 990.21 and 591.96

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Solution

The fourth proportional to 661.52, 990.21 and 591.96 is: 886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.52 : 990.21 = 591.96 : x
  2. Step 2: Convert to fraction form
    661.52/990.21 = 591.96/x
  3. Step 3: Cross multiply
    661.52x = 990.21 × 591.96
  4. Step 4: Simplify right side
    661.52x = 586,164.71
  5. Step 5: Solve for x
    x = 586,164.71/661.52
  6. Step 6: Final answer
    x = 886.09

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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.