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Finding the Fourth Proportional to 659.16, 996.20 and 647.82

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Solution

The fourth proportional to 659.16, 996.20 and 647.82 is: 979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.16 : 996.20 = 647.82 : x
  2. Step 2: Convert to fraction form
    659.16/996.20 = 647.82/x
  3. Step 3: Cross multiply
    659.16x = 996.20 × 647.82
  4. Step 4: Simplify right side
    659.16x = 645,358.28
  5. Step 5: Solve for x
    x = 645,358.28/659.16
  6. Step 6: Final answer
    x = 979.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.