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Finding the Fourth Proportional to 541.60, 816.52 and 512.80

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Solution

The fourth proportional to 541.60, 816.52 and 512.80 is: 773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.60 : 816.52 = 512.80 : x
  2. Step 2: Convert to fraction form
    541.60/816.52 = 512.80/x
  3. Step 3: Cross multiply
    541.60x = 816.52 × 512.80
  4. Step 4: Simplify right side
    541.60x = 418,711.46
  5. Step 5: Solve for x
    x = 418,711.46/541.60
  6. Step 6: Final answer
    x = 773.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.