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Finding the Fourth Proportional to 531.84, 794.72 and 519.68

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Solution

The fourth proportional to 531.84, 794.72 and 519.68 is: 776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 794.72 = 519.68 : x
  2. Step 2: Convert to fraction form
    531.84/794.72 = 519.68/x
  3. Step 3: Cross multiply
    531.84x = 794.72 × 519.68
  4. Step 4: Simplify right side
    531.84x = 413,000.09
  5. Step 5: Solve for x
    x = 413,000.09/531.84
  6. Step 6: Final answer
    x = 776.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.