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Finding the Fourth Proportional to 513.04, 707.48 and 365.84

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Solution

The fourth proportional to 513.04, 707.48 and 365.84 is: 504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.04 : 707.48 = 365.84 : x
  2. Step 2: Convert to fraction form
    513.04/707.48 = 365.84/x
  3. Step 3: Cross multiply
    513.04x = 707.48 × 365.84
  4. Step 4: Simplify right side
    513.04x = 258,824.48
  5. Step 5: Solve for x
    x = 258,824.48/513.04
  6. Step 6: Final answer
    x = 504.49

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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.