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Finding the Fourth Proportional to 597.60, 824.40 and 496.80

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Solution

The fourth proportional to 597.60, 824.40 and 496.80 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.60 : 824.40 = 496.80 : x
  2. Step 2: Convert to fraction form
    597.60/824.40 = 496.80/x
  3. Step 3: Cross multiply
    597.60x = 824.40 × 496.80
  4. Step 4: Simplify right side
    597.60x = 409,561.92
  5. Step 5: Solve for x
    x = 409,561.92/597.60
  6. Step 6: Final answer
    x = 685.34

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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.