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Finding the Fourth Proportional to 619.38, 855.77 and 472.77

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Solution

The fourth proportional to 619.38, 855.77 and 472.77 is: 653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.38 : 855.77 = 472.77 : x
  2. Step 2: Convert to fraction form
    619.38/855.77 = 472.77/x
  3. Step 3: Cross multiply
    619.38x = 855.77 × 472.77
  4. Step 4: Simplify right side
    619.38x = 404,580.02
  5. Step 5: Solve for x
    x = 404,580.02/619.38
  6. Step 6: Final answer
    x = 653.20

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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.