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Finding the Fourth Proportional to 657.64, 991.45 and 622.36

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Solution

The fourth proportional to 657.64, 991.45 and 622.36 is: 938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.64 : 991.45 = 622.36 : x
  2. Step 2: Convert to fraction form
    657.64/991.45 = 622.36/x
  3. Step 3: Cross multiply
    657.64x = 991.45 × 622.36
  4. Step 4: Simplify right side
    657.64x = 617,038.82
  5. Step 5: Solve for x
    x = 617,038.82/657.64
  6. Step 6: Final answer
    x = 938.26

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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.