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Finding the Fourth Proportional to 920.72, 1,270.88 and 590.03

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Solution

The fourth proportional to 920.72, 1,270.88 and 590.03 is: 814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.72 : 1,270.88 = 590.03 : x
  2. Step 2: Convert to fraction form
    920.72/1,270.88 = 590.03/x
  3. Step 3: Cross multiply
    920.72x = 1,270.88 × 590.03
  4. Step 4: Simplify right side
    920.72x = 749,857.33
  5. Step 5: Solve for x
    x = 749,857.33/920.72
  6. Step 6: Final answer
    x = 814.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.