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Finding the Fourth Proportional to 430.73, 642.34 and 383.49

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Solution

The fourth proportional to 430.73, 642.34 and 383.49 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.73 : 642.34 = 383.49 : x
  2. Step 2: Convert to fraction form
    430.73/642.34 = 383.49/x
  3. Step 3: Cross multiply
    430.73x = 642.34 × 383.49
  4. Step 4: Simplify right side
    430.73x = 246,330.97
  5. Step 5: Solve for x
    x = 246,330.97/430.73
  6. Step 6: Final answer
    x = 571.89

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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.