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Finding the Fourth Proportional to 587.17, 880.36 and 352.38

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Solution

The fourth proportional to 587.17, 880.36 and 352.38 is: 528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.17 : 880.36 = 352.38 : x
  2. Step 2: Convert to fraction form
    587.17/880.36 = 352.38/x
  3. Step 3: Cross multiply
    587.17x = 880.36 × 352.38
  4. Step 4: Simplify right side
    587.17x = 310,217.24
  5. Step 5: Solve for x
    x = 310,217.24/587.17
  6. Step 6: Final answer
    x = 528.33

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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.