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Finding the Fourth Proportional to 768.54, 1,152.81 and 510.21

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Solution

The fourth proportional to 768.54, 1,152.81 and 510.21 is: 765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.54 : 1,152.81 = 510.21 : x
  2. Step 2: Convert to fraction form
    768.54/1,152.81 = 510.21/x
  3. Step 3: Cross multiply
    768.54x = 1,152.81 × 510.21
  4. Step 4: Simplify right side
    768.54x = 588,175.19
  5. Step 5: Solve for x
    x = 588,175.19/768.54
  6. Step 6: Final answer
    x = 765.32

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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.