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Finding the Fourth Proportional to 586.90, 809.97 and 325.00

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Solution

The fourth proportional to 586.90, 809.97 and 325.00 is: 448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.90 : 809.97 = 325.00 : x
  2. Step 2: Convert to fraction form
    586.90/809.97 = 325.00/x
  3. Step 3: Cross multiply
    586.90x = 809.97 × 325.00
  4. Step 4: Simplify right side
    586.90x = 263,236.20
  5. Step 5: Solve for x
    x = 263,236.20/586.90
  6. Step 6: Final answer
    x = 448.52

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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.