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Finding the Fourth Proportional to 766.61, 1,057.90 and 435.03

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Solution

The fourth proportional to 766.61, 1,057.90 and 435.03 is: 600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.61 : 1,057.90 = 435.03 : x
  2. Step 2: Convert to fraction form
    766.61/1,057.90 = 435.03/x
  3. Step 3: Cross multiply
    766.61x = 1,057.90 × 435.03
  4. Step 4: Simplify right side
    766.61x = 460,218.24
  5. Step 5: Solve for x
    x = 460,218.24/766.61
  6. Step 6: Final answer
    x = 600.33

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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.