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Finding the Fourth Proportional to 665.66, 917.78 and 517.98

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Solution

The fourth proportional to 665.66, 917.78 and 517.98 is: 714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.66 : 917.78 = 517.98 : x
  2. Step 2: Convert to fraction form
    665.66/917.78 = 517.98/x
  3. Step 3: Cross multiply
    665.66x = 917.78 × 517.98
  4. Step 4: Simplify right side
    665.66x = 475,391.68
  5. Step 5: Solve for x
    x = 475,391.68/665.66
  6. Step 6: Final answer
    x = 714.17

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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.