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Finding the Fourth Proportional to 613.91, 847.61 and 471.87

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Solution

The fourth proportional to 613.91, 847.61 and 471.87 is: 651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.91 : 847.61 = 471.87 : x
  2. Step 2: Convert to fraction form
    613.91/847.61 = 471.87/x
  3. Step 3: Cross multiply
    613.91x = 847.61 × 471.87
  4. Step 4: Simplify right side
    613.91x = 399,962.91
  5. Step 5: Solve for x
    x = 399,962.91/613.91
  6. Step 6: Final answer
    x = 651.50

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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.