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Finding the Fourth Proportional to 613.74, 848.16 and 495.48

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Solution

The fourth proportional to 613.74, 848.16 and 495.48 is: 684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.74 : 848.16 = 495.48 : x
  2. Step 2: Convert to fraction form
    613.74/848.16 = 495.48/x
  3. Step 3: Cross multiply
    613.74x = 848.16 × 495.48
  4. Step 4: Simplify right side
    613.74x = 420,246.32
  5. Step 5: Solve for x
    x = 420,246.32/613.74
  6. Step 6: Final answer
    x = 684.73

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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.