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Finding the Fourth Proportional to 584.15, 875.35 and 352.78

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Solution

The fourth proportional to 584.15, 875.35 and 352.78 is: 528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.15 : 875.35 = 352.78 : x
  2. Step 2: Convert to fraction form
    584.15/875.35 = 352.78/x
  3. Step 3: Cross multiply
    584.15x = 875.35 × 352.78
  4. Step 4: Simplify right side
    584.15x = 308,805.97
  5. Step 5: Solve for x
    x = 308,805.97/584.15
  6. Step 6: Final answer
    x = 528.64

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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.