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Finding the Fourth Proportional to 613.71, 847.14 and 448.77

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Solution

The fourth proportional to 613.71, 847.14 and 448.77 is: 619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.71 : 847.14 = 448.77 : x
  2. Step 2: Convert to fraction form
    613.71/847.14 = 448.77/x
  3. Step 3: Cross multiply
    613.71x = 847.14 × 448.77
  4. Step 4: Simplify right side
    613.71x = 380,171.02
  5. Step 5: Solve for x
    x = 380,171.02/613.71
  6. Step 6: Final answer
    x = 619.46

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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.