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Finding the Fourth Proportional to 669.70, 1,006.71 and 666.46

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Solution

The fourth proportional to 669.70, 1,006.71 and 666.46 is: 1,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.70 : 1,006.71 = 666.46 : x
  2. Step 2: Convert to fraction form
    669.70/1,006.71 = 666.46/x
  3. Step 3: Cross multiply
    669.70x = 1,006.71 × 666.46
  4. Step 4: Simplify right side
    669.70x = 670,931.95
  5. Step 5: Solve for x
    x = 670,931.95/669.70
  6. Step 6: Final answer
    x = 1,001.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.