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Finding the Fourth Proportional to 664.05, 991.17 and 623.01

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Solution

The fourth proportional to 664.05, 991.17 and 623.01 is: 929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.05 : 991.17 = 623.01 : x
  2. Step 2: Convert to fraction form
    664.05/991.17 = 623.01/x
  3. Step 3: Cross multiply
    664.05x = 991.17 × 623.01
  4. Step 4: Simplify right side
    664.05x = 617,508.82
  5. Step 5: Solve for x
    x = 617,508.82/664.05
  6. Step 6: Final answer
    x = 929.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.