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Finding the Fourth Proportional to 586.28, 809.07 and 324.30

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Solution

The fourth proportional to 586.28, 809.07 and 324.30 is: 447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.28 : 809.07 = 324.30 : x
  2. Step 2: Convert to fraction form
    586.28/809.07 = 324.30/x
  3. Step 3: Cross multiply
    586.28x = 809.07 × 324.30
  4. Step 4: Simplify right side
    586.28x = 262,381.40
  5. Step 5: Solve for x
    x = 262,381.40/586.28
  6. Step 6: Final answer
    x = 447.54

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1.5x scale

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.