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Finding the Fourth Proportional to 766.37, 1,057.58 and 434.79

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Solution

The fourth proportional to 766.37, 1,057.58 and 434.79 is: 600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.37 : 1,057.58 = 434.79 : x
  2. Step 2: Convert to fraction form
    766.37/1,057.58 = 434.79/x
  3. Step 3: Cross multiply
    766.37x = 1,057.58 × 434.79
  4. Step 4: Simplify right side
    766.37x = 459,825.21
  5. Step 5: Solve for x
    x = 459,825.21/766.37
  6. Step 6: Final answer
    x = 600.00

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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.