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Finding the Fourth Proportional to 665.64, 922.47 and 657.72

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Solution

The fourth proportional to 665.64, 922.47 and 657.72 is: 911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.64 : 922.47 = 657.72 : x
  2. Step 2: Convert to fraction form
    665.64/922.47 = 657.72/x
  3. Step 3: Cross multiply
    665.64x = 922.47 × 657.72
  4. Step 4: Simplify right side
    665.64x = 606,726.97
  5. Step 5: Solve for x
    x = 606,726.97/665.64
  6. Step 6: Final answer
    x = 911.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.