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Finding the Fourth Proportional to 586.02, 809.19 and 365.34

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Solution

The fourth proportional to 586.02, 809.19 and 365.34 is: 504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.02 : 809.19 = 365.34 : x
  2. Step 2: Convert to fraction form
    586.02/809.19 = 365.34/x
  3. Step 3: Cross multiply
    586.02x = 809.19 × 365.34
  4. Step 4: Simplify right side
    586.02x = 295,629.47
  5. Step 5: Solve for x
    x = 295,629.47/586.02
  6. Step 6: Final answer
    x = 504.47

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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.