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Finding the Fourth Proportional to 546.32, 818.42 and 430.15

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Solution

The fourth proportional to 546.32, 818.42 and 430.15 is: 644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.32 : 818.42 = 430.15 : x
  2. Step 2: Convert to fraction form
    546.32/818.42 = 430.15/x
  3. Step 3: Cross multiply
    546.32x = 818.42 × 430.15
  4. Step 4: Simplify right side
    546.32x = 352,039.27
  5. Step 5: Solve for x
    x = 352,039.27/546.32
  6. Step 6: Final answer
    x = 644.39

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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.