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Finding the Fourth Proportional to 586.81, 809.78 and 321.24

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Solution

The fourth proportional to 586.81, 809.78 and 321.24 is: 443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.81 : 809.78 = 321.24 : x
  2. Step 2: Convert to fraction form
    586.81/809.78 = 321.24/x
  3. Step 3: Cross multiply
    586.81x = 809.78 × 321.24
  4. Step 4: Simplify right side
    586.81x = 260,133.73
  5. Step 5: Solve for x
    x = 260,133.73/586.81
  6. Step 6: Final answer
    x = 443.30

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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.