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Finding the Fourth Proportional to 765.06, 1,146.87 and 697.44

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Solution

The fourth proportional to 765.06, 1,146.87 and 697.44 is: 1,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.06 : 1,146.87 = 697.44 : x
  2. Step 2: Convert to fraction form
    765.06/1,146.87 = 697.44/x
  3. Step 3: Cross multiply
    765.06x = 1,146.87 × 697.44
  4. Step 4: Simplify right side
    765.06x = 799,873.01
  5. Step 5: Solve for x
    x = 799,873.01/765.06
  6. Step 6: Final answer
    x = 1,045.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.