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Finding the Fourth Proportional to 578.52, 863.64 and 502.02

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Solution

The fourth proportional to 578.52, 863.64 and 502.02 is: 749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.52 : 863.64 = 502.02 : x
  2. Step 2: Convert to fraction form
    578.52/863.64 = 502.02/x
  3. Step 3: Cross multiply
    578.52x = 863.64 × 502.02
  4. Step 4: Simplify right side
    578.52x = 433,564.55
  5. Step 5: Solve for x
    x = 433,564.55/578.52
  6. Step 6: Final answer
    x = 749.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.