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Finding the Fourth Proportional to 587.08, 808.86 and 446.80

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Solution

The fourth proportional to 587.08, 808.86 and 446.80 is: 615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.08 : 808.86 = 446.80 : x
  2. Step 2: Convert to fraction form
    587.08/808.86 = 446.80/x
  3. Step 3: Cross multiply
    587.08x = 808.86 × 446.80
  4. Step 4: Simplify right side
    587.08x = 361,398.65
  5. Step 5: Solve for x
    x = 361,398.65/587.08
  6. Step 6: Final answer
    x = 615.59

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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.