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Finding the Fourth Proportional to 619.49, 854 and 471.87

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Solution

The fourth proportional to 619.49, 854 and 471.87 is: 650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.49 : 854 = 471.87 : x
  2. Step 2: Convert to fraction form
    619.49/854 = 471.87/x
  3. Step 3: Cross multiply
    619.49x = 854 × 471.87
  4. Step 4: Simplify right side
    619.49x = 402,976.98
  5. Step 5: Solve for x
    x = 402,976.98/619.49
  6. Step 6: Final answer
    x = 650.50

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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.