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Finding the Fourth Proportional to 530.80, 791.93 and 472.33

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Solution

The fourth proportional to 530.80, 791.93 and 472.33 is: 704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.80 : 791.93 = 472.33 : x
  2. Step 2: Convert to fraction form
    530.80/791.93 = 472.33/x
  3. Step 3: Cross multiply
    530.80x = 791.93 × 472.33
  4. Step 4: Simplify right side
    530.80x = 374,048.34
  5. Step 5: Solve for x
    x = 374,048.34/530.80
  6. Step 6: Final answer
    x = 704.69

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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.