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Finding the Fourth Proportional to 766.68, 1,056.78 and 609

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Solution

The fourth proportional to 766.68, 1,056.78 and 609 is: 839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.68 : 1,056.78 = 609 : x
  2. Step 2: Convert to fraction form
    766.68/1,056.78 = 609/x
  3. Step 3: Cross multiply
    766.68x = 1,056.78 × 609
  4. Step 4: Simplify right side
    766.68x = 643,579.02
  5. Step 5: Solve for x
    x = 643,579.02/766.68
  6. Step 6: Final answer
    x = 839.44

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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.