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Finding the Fourth Proportional to 1,026.15, 1,539.23 and 769.38

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Solution

The fourth proportional to 1,026.15, 1,539.23 and 769.38 is: 1,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.15 : 1,539.23 = 769.38 : x
  2. Step 2: Convert to fraction form
    1,026.15/1,539.23 = 769.38/x
  3. Step 3: Cross multiply
    1,026.15x = 1,539.23 × 769.38
  4. Step 4: Simplify right side
    1,026.15x = 1,184,248.93
  5. Step 5: Solve for x
    x = 1,184,248.93/1,026.15
  6. Step 6: Final answer
    x = 1,154.07

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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.