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Finding the Fourth Proportional to 557.60, 835.20 and 496.80

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Solution

The fourth proportional to 557.60, 835.20 and 496.80 is: 744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.60 : 835.20 = 496.80 : x
  2. Step 2: Convert to fraction form
    557.60/835.20 = 496.80/x
  3. Step 3: Cross multiply
    557.60x = 835.20 × 496.80
  4. Step 4: Simplify right side
    557.60x = 414,927.36
  5. Step 5: Solve for x
    x = 414,927.36/557.60
  6. Step 6: Final answer
    x = 744.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.