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Finding the Fourth Proportional to 766.34, 1,057.66 and 434.80

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Solution

The fourth proportional to 766.34, 1,057.66 and 434.80 is: 600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.34 : 1,057.66 = 434.80 : x
  2. Step 2: Convert to fraction form
    766.34/1,057.66 = 434.80/x
  3. Step 3: Cross multiply
    766.34x = 1,057.66 × 434.80
  4. Step 4: Simplify right side
    766.34x = 459,870.80
  5. Step 5: Solve for x
    x = 459,870.80/766.34
  6. Step 6: Final answer
    x = 600.08

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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.