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Finding the Fourth Proportional to 546.19, 818.24 and 430.02

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Solution

The fourth proportional to 546.19, 818.24 and 430.02 is: 644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 818.24 = 430.02 : x
  2. Step 2: Convert to fraction form
    546.19/818.24 = 430.02/x
  3. Step 3: Cross multiply
    546.19x = 818.24 × 430.02
  4. Step 4: Simplify right side
    546.19x = 351,857.41
  5. Step 5: Solve for x
    x = 351,857.41/546.19
  6. Step 6: Final answer
    x = 644.21

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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.