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Finding the Fourth Proportional to 665.21, 992.94 and 617.02

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Solution

The fourth proportional to 665.21, 992.94 and 617.02 is: 921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.21 : 992.94 = 617.02 : x
  2. Step 2: Convert to fraction form
    665.21/992.94 = 617.02/x
  3. Step 3: Cross multiply
    665.21x = 992.94 × 617.02
  4. Step 4: Simplify right side
    665.21x = 612,663.84
  5. Step 5: Solve for x
    x = 612,663.84/665.21
  6. Step 6: Final answer
    x = 921.01

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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.