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Finding the Fourth Proportional to 571.53, 853.16 and 502.33

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Solution

The fourth proportional to 571.53, 853.16 and 502.33 is: 749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.53 : 853.16 = 502.33 : x
  2. Step 2: Convert to fraction form
    571.53/853.16 = 502.33/x
  3. Step 3: Cross multiply
    571.53x = 853.16 × 502.33
  4. Step 4: Simplify right side
    571.53x = 428,567.86
  5. Step 5: Solve for x
    x = 428,567.86/571.53
  6. Step 6: Final answer
    x = 749.86

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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.