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Finding the Fourth Proportional to 551.77, 762.06 and 499.30

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Solution

The fourth proportional to 551.77, 762.06 and 499.30 is: 689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.77 : 762.06 = 499.30 : x
  2. Step 2: Convert to fraction form
    551.77/762.06 = 499.30/x
  3. Step 3: Cross multiply
    551.77x = 762.06 × 499.30
  4. Step 4: Simplify right side
    551.77x = 380,496.56
  5. Step 5: Solve for x
    x = 380,496.56/551.77
  6. Step 6: Final answer
    x = 689.59

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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.