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Finding the Fourth Proportional to 767.80, 1,151.62 and 402.44

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Solution

The fourth proportional to 767.80, 1,151.62 and 402.44 is: 603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.80 : 1,151.62 = 402.44 : x
  2. Step 2: Convert to fraction form
    767.80/1,151.62 = 402.44/x
  3. Step 3: Cross multiply
    767.80x = 1,151.62 × 402.44
  4. Step 4: Simplify right side
    767.80x = 463,457.95
  5. Step 5: Solve for x
    x = 463,457.95/767.80
  6. Step 6: Final answer
    x = 603.62

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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.