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Finding the Fourth Proportional to 762.14, 1,050.81 and 669.80

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Solution

The fourth proportional to 762.14, 1,050.81 and 669.80 is: 923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.14 : 1,050.81 = 669.80 : x
  2. Step 2: Convert to fraction form
    762.14/1,050.81 = 669.80/x
  3. Step 3: Cross multiply
    762.14x = 1,050.81 × 669.80
  4. Step 4: Simplify right side
    762.14x = 703,827.28
  5. Step 5: Solve for x
    x = 703,827.28/762.14
  6. Step 6: Final answer
    x = 923.49

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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.