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Finding the Fourth Proportional to 521.92, 777.52 and 496.96

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Solution

The fourth proportional to 521.92, 777.52 and 496.96 is: 740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.92 : 777.52 = 496.96 : x
  2. Step 2: Convert to fraction form
    521.92/777.52 = 496.96/x
  3. Step 3: Cross multiply
    521.92x = 777.52 × 496.96
  4. Step 4: Simplify right side
    521.92x = 386,396.34
  5. Step 5: Solve for x
    x = 386,396.34/521.92
  6. Step 6: Final answer
    x = 740.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.