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Finding the Fourth Proportional to 767.84, 1,060.04 and 520.48

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Solution

The fourth proportional to 767.84, 1,060.04 and 520.48 is: 718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.84 : 1,060.04 = 520.48 : x
  2. Step 2: Convert to fraction form
    767.84/1,060.04 = 520.48/x
  3. Step 3: Cross multiply
    767.84x = 1,060.04 × 520.48
  4. Step 4: Simplify right side
    767.84x = 551,729.62
  5. Step 5: Solve for x
    x = 551,729.62/767.84
  6. Step 6: Final answer
    x = 718.55

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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.