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Finding the Fourth Proportional to 556.96, 838.80 and 496.64

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Solution

The fourth proportional to 556.96, 838.80 and 496.64 is: 747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.96 : 838.80 = 496.64 : x
  2. Step 2: Convert to fraction form
    556.96/838.80 = 496.64/x
  3. Step 3: Cross multiply
    556.96x = 838.80 × 496.64
  4. Step 4: Simplify right side
    556.96x = 416,581.63
  5. Step 5: Solve for x
    x = 416,581.63/556.96
  6. Step 6: Final answer
    x = 747.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.