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Finding the Fourth Proportional to 534.89, 800.96 and 430.28

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Solution

The fourth proportional to 534.89, 800.96 and 430.28 is: 644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.89 : 800.96 = 430.28 : x
  2. Step 2: Convert to fraction form
    534.89/800.96 = 430.28/x
  3. Step 3: Cross multiply
    534.89x = 800.96 × 430.28
  4. Step 4: Simplify right side
    534.89x = 344,630.91
  5. Step 5: Solve for x
    x = 344,630.91/534.89
  6. Step 6: Final answer
    x = 644.31

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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.