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Finding the Fourth Proportional to 657.66, 906.51 and 644.70

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Solution

The fourth proportional to 657.66, 906.51 and 644.70 is: 888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.66 : 906.51 = 644.70 : x
  2. Step 2: Convert to fraction form
    657.66/906.51 = 644.70/x
  3. Step 3: Cross multiply
    657.66x = 906.51 × 644.70
  4. Step 4: Simplify right side
    657.66x = 584,422.46
  5. Step 5: Solve for x
    x = 584,422.46/657.66
  6. Step 6: Final answer
    x = 888.65

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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.