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Finding the Fourth Proportional to 660.53, 908.73 and 642.30

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Solution

The fourth proportional to 660.53, 908.73 and 642.30 is: 883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.53 : 908.73 = 642.30 : x
  2. Step 2: Convert to fraction form
    660.53/908.73 = 642.30/x
  3. Step 3: Cross multiply
    660.53x = 908.73 × 642.30
  4. Step 4: Simplify right side
    660.53x = 583,677.28
  5. Step 5: Solve for x
    x = 583,677.28/660.53
  6. Step 6: Final answer
    x = 883.66

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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.