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Finding the Fourth Proportional to 431.76, 644.28 and 383.20

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Solution

The fourth proportional to 431.76, 644.28 and 383.20 is: 571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.76 : 644.28 = 383.20 : x
  2. Step 2: Convert to fraction form
    431.76/644.28 = 383.20/x
  3. Step 3: Cross multiply
    431.76x = 644.28 × 383.20
  4. Step 4: Simplify right side
    431.76x = 246,888.10
  5. Step 5: Solve for x
    x = 246,888.10/431.76
  6. Step 6: Final answer
    x = 571.82

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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.