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Finding the Fourth Proportional to 586.01, 809.04 and 409.28

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Solution

The fourth proportional to 586.01, 809.04 and 409.28 is: 565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.01 : 809.04 = 409.28 : x
  2. Step 2: Convert to fraction form
    586.01/809.04 = 409.28/x
  3. Step 3: Cross multiply
    586.01x = 809.04 × 409.28
  4. Step 4: Simplify right side
    586.01x = 331,119.85
  5. Step 5: Solve for x
    x = 331,119.85/586.01
  6. Step 6: Final answer
    x = 565.05

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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.