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Finding the Fourth Proportional to 765.91, 1,056.80 and 451.09

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Solution

The fourth proportional to 765.91, 1,056.80 and 451.09 is: 622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.91 : 1,056.80 = 451.09 : x
  2. Step 2: Convert to fraction form
    765.91/1,056.80 = 451.09/x
  3. Step 3: Cross multiply
    765.91x = 1,056.80 × 451.09
  4. Step 4: Simplify right side
    765.91x = 476,710.40
  5. Step 5: Solve for x
    x = 476,710.40/765.91
  6. Step 6: Final answer
    x = 622.41

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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.