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Finding the Fourth Proportional to 619.76, 853.32 and 471.92

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Solution

The fourth proportional to 619.76, 853.32 and 471.92 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.76 : 853.32 = 471.92 : x
  2. Step 2: Convert to fraction form
    619.76/853.32 = 471.92/x
  3. Step 3: Cross multiply
    619.76x = 853.32 × 471.92
  4. Step 4: Simplify right side
    619.76x = 402,698.77
  5. Step 5: Solve for x
    x = 402,698.77/619.76
  6. Step 6: Final answer
    x = 649.77

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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.