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Finding the Fourth Proportional to 587.98, 881.78 and 263.58

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Solution

The fourth proportional to 587.98, 881.78 and 263.58 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.98 : 881.78 = 263.58 : x
  2. Step 2: Convert to fraction form
    587.98/881.78 = 263.58/x
  3. Step 3: Cross multiply
    587.98x = 881.78 × 263.58
  4. Step 4: Simplify right side
    587.98x = 232,419.57
  5. Step 5: Solve for x
    x = 232,419.57/587.98
  6. Step 6: Final answer
    x = 395.28

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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.