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Finding the Fourth Proportional to 669.84, 925.12 and 660.74

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Solution

The fourth proportional to 669.84, 925.12 and 660.74 is: 912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.84 : 925.12 = 660.74 : x
  2. Step 2: Convert to fraction form
    669.84/925.12 = 660.74/x
  3. Step 3: Cross multiply
    669.84x = 925.12 × 660.74
  4. Step 4: Simplify right side
    669.84x = 611,263.79
  5. Step 5: Solve for x
    x = 611,263.79/669.84
  6. Step 6: Final answer
    x = 912.55

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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.