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Finding the Fourth Proportional to 765.22, 1,055.67 and 544.30

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Solution

The fourth proportional to 765.22, 1,055.67 and 544.30 is: 750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.22 : 1,055.67 = 544.30 : x
  2. Step 2: Convert to fraction form
    765.22/1,055.67 = 544.30/x
  3. Step 3: Cross multiply
    765.22x = 1,055.67 × 544.30
  4. Step 4: Simplify right side
    765.22x = 574,601.18
  5. Step 5: Solve for x
    x = 574,601.18/765.22
  6. Step 6: Final answer
    x = 750.90

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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.