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Finding the Fourth Proportional to 530.72, 791.56 and 521.49

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Solution

The fourth proportional to 530.72, 791.56 and 521.49 is: 777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.72 : 791.56 = 521.49 : x
  2. Step 2: Convert to fraction form
    530.72/791.56 = 521.49/x
  3. Step 3: Cross multiply
    530.72x = 791.56 × 521.49
  4. Step 4: Simplify right side
    530.72x = 412,788.02
  5. Step 5: Solve for x
    x = 412,788.02/530.72
  6. Step 6: Final answer
    x = 777.80

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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.