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Finding the Fourth Proportional to 583.52, 878.78 and 526.48

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Solution

The fourth proportional to 583.52, 878.78 and 526.48 is: 792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.52 : 878.78 = 526.48 : x
  2. Step 2: Convert to fraction form
    583.52/878.78 = 526.48/x
  3. Step 3: Cross multiply
    583.52x = 878.78 × 526.48
  4. Step 4: Simplify right side
    583.52x = 462,660.09
  5. Step 5: Solve for x
    x = 462,660.09/583.52
  6. Step 6: Final answer
    x = 792.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.