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Finding the Fourth Proportional to 521.87, 782.93 and 278.35

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Solution

The fourth proportional to 521.87, 782.93 and 278.35 is: 417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.87 : 782.93 = 278.35 : x
  2. Step 2: Convert to fraction form
    521.87/782.93 = 278.35/x
  3. Step 3: Cross multiply
    521.87x = 782.93 × 278.35
  4. Step 4: Simplify right side
    521.87x = 217,923.26
  5. Step 5: Solve for x
    x = 217,923.26/521.87
  6. Step 6: Final answer
    x = 417.58

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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.