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Finding the Fourth Proportional to 665.96, 994.08 and 617.78

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Solution

The fourth proportional to 665.96, 994.08 and 617.78 is: 922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 994.08 = 617.78 : x
  2. Step 2: Convert to fraction form
    665.96/994.08 = 617.78/x
  3. Step 3: Cross multiply
    665.96x = 994.08 × 617.78
  4. Step 4: Simplify right side
    665.96x = 614,117.77
  5. Step 5: Solve for x
    x = 614,117.77/665.96
  6. Step 6: Final answer
    x = 922.16

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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.