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Finding the Fourth Proportional to 587.28, 809.86 and 498.66

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Solution

The fourth proportional to 587.28, 809.86 and 498.66 is: 687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.28 : 809.86 = 498.66 : x
  2. Step 2: Convert to fraction form
    587.28/809.86 = 498.66/x
  3. Step 3: Cross multiply
    587.28x = 809.86 × 498.66
  4. Step 4: Simplify right side
    587.28x = 403,844.79
  5. Step 5: Solve for x
    x = 403,844.79/587.28
  6. Step 6: Final answer
    x = 687.65

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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.