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Finding the Fourth Proportional to 586.49, 809.26 and 365.36

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Solution

The fourth proportional to 586.49, 809.26 and 365.36 is: 504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.49 : 809.26 = 365.36 : x
  2. Step 2: Convert to fraction form
    586.49/809.26 = 365.36/x
  3. Step 3: Cross multiply
    586.49x = 809.26 × 365.36
  4. Step 4: Simplify right side
    586.49x = 295,666.27
  5. Step 5: Solve for x
    x = 295,666.27/586.49
  6. Step 6: Final answer
    x = 504.13

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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.