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Finding the Fourth Proportional to 521, 780.78 and 452.68

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Solution

The fourth proportional to 521, 780.78 and 452.68 is: 678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521 : 780.78 = 452.68 : x
  2. Step 2: Convert to fraction form
    521/780.78 = 452.68/x
  3. Step 3: Cross multiply
    521x = 780.78 × 452.68
  4. Step 4: Simplify right side
    521x = 353,443.49
  5. Step 5: Solve for x
    x = 353,443.49/521
  6. Step 6: Final answer
    x = 678.39

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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.