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Finding the Fourth Proportional to 612.48, 845.76 and 496.80

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Solution

The fourth proportional to 612.48, 845.76 and 496.80 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.48 : 845.76 = 496.80 : x
  2. Step 2: Convert to fraction form
    612.48/845.76 = 496.80/x
  3. Step 3: Cross multiply
    612.48x = 845.76 × 496.80
  4. Step 4: Simplify right side
    612.48x = 420,173.57
  5. Step 5: Solve for x
    x = 420,173.57/612.48
  6. Step 6: Final answer
    x = 686.02

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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.