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Finding the Fourth Proportional to 553.08, 832.90 and 516.63

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Solution

The fourth proportional to 553.08, 832.90 and 516.63 is: 778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.08 : 832.90 = 516.63 : x
  2. Step 2: Convert to fraction form
    553.08/832.90 = 516.63/x
  3. Step 3: Cross multiply
    553.08x = 832.90 × 516.63
  4. Step 4: Simplify right side
    553.08x = 430,301.13
  5. Step 5: Solve for x
    x = 430,301.13/553.08
  6. Step 6: Final answer
    x = 778.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.