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Finding the Fourth Proportional to 587.48, 880.50 and 394.52

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Solution

The fourth proportional to 587.48, 880.50 and 394.52 is: 591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.48 : 880.50 = 394.52 : x
  2. Step 2: Convert to fraction form
    587.48/880.50 = 394.52/x
  3. Step 3: Cross multiply
    587.48x = 880.50 × 394.52
  4. Step 4: Simplify right side
    587.48x = 347,374.86
  5. Step 5: Solve for x
    x = 347,374.86/587.48
  6. Step 6: Final answer
    x = 591.30

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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.