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Finding the Fourth Proportional to 768.90, 1,154.14 and 403.94

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Solution

The fourth proportional to 768.90, 1,154.14 and 403.94 is: 606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.90 : 1,154.14 = 403.94 : x
  2. Step 2: Convert to fraction form
    768.90/1,154.14 = 403.94/x
  3. Step 3: Cross multiply
    768.90x = 1,154.14 × 403.94
  4. Step 4: Simplify right side
    768.90x = 466,203.31
  5. Step 5: Solve for x
    x = 466,203.31/768.90
  6. Step 6: Final answer
    x = 606.33

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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.