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Finding the Fourth Proportional to 586.38, 809.12 and 498.22

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Solution

The fourth proportional to 586.38, 809.12 and 498.22 is: 687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.38 : 809.12 = 498.22 : x
  2. Step 2: Convert to fraction form
    586.38/809.12 = 498.22/x
  3. Step 3: Cross multiply
    586.38x = 809.12 × 498.22
  4. Step 4: Simplify right side
    586.38x = 403,118.99
  5. Step 5: Solve for x
    x = 403,118.99/586.38
  6. Step 6: Final answer
    x = 687.47

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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.