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Finding the Fourth Proportional to 552.78, 830.58 and 502.23

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Solution

The fourth proportional to 552.78, 830.58 and 502.23 is: 754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.78 : 830.58 = 502.23 : x
  2. Step 2: Convert to fraction form
    552.78/830.58 = 502.23/x
  3. Step 3: Cross multiply
    552.78x = 830.58 × 502.23
  4. Step 4: Simplify right side
    552.78x = 417,142.19
  5. Step 5: Solve for x
    x = 417,142.19/552.78
  6. Step 6: Final answer
    x = 754.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.