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Finding the Fourth Proportional to 537.19, 809.93 and 430.27

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Solution

The fourth proportional to 537.19, 809.93 and 430.27 is: 648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.19 : 809.93 = 430.27 : x
  2. Step 2: Convert to fraction form
    537.19/809.93 = 430.27/x
  3. Step 3: Cross multiply
    537.19x = 809.93 × 430.27
  4. Step 4: Simplify right side
    537.19x = 348,487.63
  5. Step 5: Solve for x
    x = 348,487.63/537.19
  6. Step 6: Final answer
    x = 648.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.