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Finding the Fourth Proportional to 513.23, 707.23 and 365.45

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Solution

The fourth proportional to 513.23, 707.23 and 365.45 is: 503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.23 : 707.23 = 365.45 : x
  2. Step 2: Convert to fraction form
    513.23/707.23 = 365.45/x
  3. Step 3: Cross multiply
    513.23x = 707.23 × 365.45
  4. Step 4: Simplify right side
    513.23x = 258,452.75
  5. Step 5: Solve for x
    x = 258,452.75/513.23
  6. Step 6: Final answer
    x = 503.59

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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.