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Finding the Fourth Proportional to 587.72, 811.32 and 366.86

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Solution

The fourth proportional to 587.72, 811.32 and 366.86 is: 506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.72 : 811.32 = 366.86 : x
  2. Step 2: Convert to fraction form
    587.72/811.32 = 366.86/x
  3. Step 3: Cross multiply
    587.72x = 811.32 × 366.86
  4. Step 4: Simplify right side
    587.72x = 297,640.86
  5. Step 5: Solve for x
    x = 297,640.86/587.72
  6. Step 6: Final answer
    x = 506.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.