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Finding the Fourth Proportional to 587.84, 880.39 and 356.21

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Solution

The fourth proportional to 587.84, 880.39 and 356.21 is: 533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.84 : 880.39 = 356.21 : x
  2. Step 2: Convert to fraction form
    587.84/880.39 = 356.21/x
  3. Step 3: Cross multiply
    587.84x = 880.39 × 356.21
  4. Step 4: Simplify right side
    587.84x = 313,603.72
  5. Step 5: Solve for x
    x = 313,603.72/587.84
  6. Step 6: Final answer
    x = 533.48

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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.