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Finding the Fourth Proportional to 587.62, 809.06 and 498.92

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Solution

The fourth proportional to 587.62, 809.06 and 498.92 is: 686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.62 : 809.06 = 498.92 : x
  2. Step 2: Convert to fraction form
    587.62/809.06 = 498.92/x
  3. Step 3: Cross multiply
    587.62x = 809.06 × 498.92
  4. Step 4: Simplify right side
    587.62x = 403,659.49
  5. Step 5: Solve for x
    x = 403,659.49/587.62
  6. Step 6: Final answer
    x = 686.94

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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.