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Finding the Fourth Proportional to 521.22, 777.08 and 514.74

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Solution

The fourth proportional to 521.22, 777.08 and 514.74 is: 767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.22 : 777.08 = 514.74 : x
  2. Step 2: Convert to fraction form
    521.22/777.08 = 514.74/x
  3. Step 3: Cross multiply
    521.22x = 777.08 × 514.74
  4. Step 4: Simplify right side
    521.22x = 399,994.16
  5. Step 5: Solve for x
    x = 399,994.16/521.22
  6. Step 6: Final answer
    x = 767.42

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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.