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Finding the Fourth Proportional to 551.96, 761.32 and 499.16

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Solution

The fourth proportional to 551.96, 761.32 and 499.16 is: 688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.96 : 761.32 = 499.16 : x
  2. Step 2: Convert to fraction form
    551.96/761.32 = 499.16/x
  3. Step 3: Cross multiply
    551.96x = 761.32 × 499.16
  4. Step 4: Simplify right side
    551.96x = 380,020.49
  5. Step 5: Solve for x
    x = 380,020.49/551.96
  6. Step 6: Final answer
    x = 688.49

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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.