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Finding the Fourth Proportional to 587.87, 812.13 and 499.20

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Solution

The fourth proportional to 587.87, 812.13 and 499.20 is: 689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.87 : 812.13 = 499.20 : x
  2. Step 2: Convert to fraction form
    587.87/812.13 = 499.20/x
  3. Step 3: Cross multiply
    587.87x = 812.13 × 499.20
  4. Step 4: Simplify right side
    587.87x = 405,415.30
  5. Step 5: Solve for x
    x = 405,415.30/587.87
  6. Step 6: Final answer
    x = 689.64

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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.