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Finding the Fourth Proportional to 765.09, 1,055.88 and 579.15

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Solution

The fourth proportional to 765.09, 1,055.88 and 579.15 is: 799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.09 : 1,055.88 = 579.15 : x
  2. Step 2: Convert to fraction form
    765.09/1,055.88 = 579.15/x
  3. Step 3: Cross multiply
    765.09x = 1,055.88 × 579.15
  4. Step 4: Simplify right side
    765.09x = 611,512.90
  5. Step 5: Solve for x
    x = 611,512.90/765.09
  6. Step 6: Final answer
    x = 799.27

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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.