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Finding the Fourth Proportional to 586.69, 809.64 and 324.70

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Solution

The fourth proportional to 586.69, 809.64 and 324.70 is: 448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.69 : 809.64 = 324.70 : x
  2. Step 2: Convert to fraction form
    586.69/809.64 = 324.70/x
  3. Step 3: Cross multiply
    586.69x = 809.64 × 324.70
  4. Step 4: Simplify right side
    586.69x = 262,888.08
  5. Step 5: Solve for x
    x = 262,888.08/586.69
  6. Step 6: Final answer
    x = 448.09

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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.