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Finding the Fourth Proportional to 586.32, 809.10 and 324.30

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Solution

The fourth proportional to 586.32, 809.10 and 324.30 is: 447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 809.10 = 324.30 : x
  2. Step 2: Convert to fraction form
    586.32/809.10 = 324.30/x
  3. Step 3: Cross multiply
    586.32x = 809.10 × 324.30
  4. Step 4: Simplify right side
    586.32x = 262,391.13
  5. Step 5: Solve for x
    x = 262,391.13/586.32
  6. Step 6: Final answer
    x = 447.52

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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.