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Finding the Fourth Proportional to 587.43, 879.93 and 294.02

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Solution

The fourth proportional to 587.43, 879.93 and 294.02 is: 440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.43 : 879.93 = 294.02 : x
  2. Step 2: Convert to fraction form
    587.43/879.93 = 294.02/x
  3. Step 3: Cross multiply
    587.43x = 879.93 × 294.02
  4. Step 4: Simplify right side
    587.43x = 258,712.62
  5. Step 5: Solve for x
    x = 258,712.62/587.43
  6. Step 6: Final answer
    x = 440.41

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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.