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Finding the Fourth Proportional to 380.79, 568.39 and 289.06

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Solution

The fourth proportional to 380.79, 568.39 and 289.06 is: 431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.79 : 568.39 = 289.06 : x
  2. Step 2: Convert to fraction form
    380.79/568.39 = 289.06/x
  3. Step 3: Cross multiply
    380.79x = 568.39 × 289.06
  4. Step 4: Simplify right side
    380.79x = 164,298.81
  5. Step 5: Solve for x
    x = 164,298.81/380.79
  6. Step 6: Final answer
    x = 431.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.