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Finding the Fourth Proportional to 522.82, 783.66 and 278.74

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Solution

The fourth proportional to 522.82, 783.66 and 278.74 is: 417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.82 : 783.66 = 278.74 : x
  2. Step 2: Convert to fraction form
    522.82/783.66 = 278.74/x
  3. Step 3: Cross multiply
    522.82x = 783.66 × 278.74
  4. Step 4: Simplify right side
    522.82x = 218,437.39
  5. Step 5: Solve for x
    x = 218,437.39/522.82
  6. Step 6: Final answer
    x = 417.81

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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.