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Finding the Fourth Proportional to 660.02, 908.96 and 645.66

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Solution

The fourth proportional to 660.02, 908.96 and 645.66 is: 889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.02 : 908.96 = 645.66 : x
  2. Step 2: Convert to fraction form
    660.02/908.96 = 645.66/x
  3. Step 3: Cross multiply
    660.02x = 908.96 × 645.66
  4. Step 4: Simplify right side
    660.02x = 586,875.89
  5. Step 5: Solve for x
    x = 586,875.89/660.02
  6. Step 6: Final answer
    x = 889.19

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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.