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Finding the Fourth Proportional to 767.88, 1,152.63 and 335.34

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Solution

The fourth proportional to 767.88, 1,152.63 and 335.34 is: 503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.88 : 1,152.63 = 335.34 : x
  2. Step 2: Convert to fraction form
    767.88/1,152.63 = 335.34/x
  3. Step 3: Cross multiply
    767.88x = 1,152.63 × 335.34
  4. Step 4: Simplify right side
    767.88x = 386,522.94
  5. Step 5: Solve for x
    x = 386,522.94/767.88
  6. Step 6: Final answer
    x = 503.36

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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.