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Finding the Fourth Proportional to 1,230.18, 1,697.97 and 764.82

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Solution

The fourth proportional to 1,230.18, 1,697.97 and 764.82 is: 1,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.18 : 1,697.97 = 764.82 : x
  2. Step 2: Convert to fraction form
    1,230.18/1,697.97 = 764.82/x
  3. Step 3: Cross multiply
    1,230.18x = 1,697.97 × 764.82
  4. Step 4: Simplify right side
    1,230.18x = 1,298,641.42
  5. Step 5: Solve for x
    x = 1,298,641.42/1,230.18
  6. Step 6: Final answer
    x = 1,055.65

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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.