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Finding the Fourth Proportional to 717.56, 990.50 and 659.24

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Solution

The fourth proportional to 717.56, 990.50 and 659.24 is: 910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.56 : 990.50 = 659.24 : x
  2. Step 2: Convert to fraction form
    717.56/990.50 = 659.24/x
  3. Step 3: Cross multiply
    717.56x = 990.50 × 659.24
  4. Step 4: Simplify right side
    717.56x = 652,977.22
  5. Step 5: Solve for x
    x = 652,977.22/717.56
  6. Step 6: Final answer
    x = 910.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.