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Finding the Fourth Proportional to 430.38, 644.88 and 389.38

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Solution

The fourth proportional to 430.38, 644.88 and 389.38 is: 583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.38 : 644.88 = 389.38 : x
  2. Step 2: Convert to fraction form
    430.38/644.88 = 389.38/x
  3. Step 3: Cross multiply
    430.38x = 644.88 × 389.38
  4. Step 4: Simplify right side
    430.38x = 251,103.22
  5. Step 5: Solve for x
    x = 251,103.22/430.38
  6. Step 6: Final answer
    x = 583.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.