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Finding the Fourth Proportional to 530.76, 791.73 and 521.96

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Solution

The fourth proportional to 530.76, 791.73 and 521.96 is: 778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 791.73 = 521.96 : x
  2. Step 2: Convert to fraction form
    530.76/791.73 = 521.96/x
  3. Step 3: Cross multiply
    530.76x = 791.73 × 521.96
  4. Step 4: Simplify right side
    530.76x = 413,251.39
  5. Step 5: Solve for x
    x = 413,251.39/530.76
  6. Step 6: Final answer
    x = 778.60

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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.