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Finding the Fourth Proportional to 410.25, 568.72 and 389.13

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Solution

The fourth proportional to 410.25, 568.72 and 389.13 is: 539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.25 : 568.72 = 389.13 : x
  2. Step 2: Convert to fraction form
    410.25/568.72 = 389.13/x
  3. Step 3: Cross multiply
    410.25x = 568.72 × 389.13
  4. Step 4: Simplify right side
    410.25x = 221,306.01
  5. Step 5: Solve for x
    x = 221,306.01/410.25
  6. Step 6: Final answer
    x = 539.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.