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Finding the Fourth Proportional to 620.40, 935.46 and 543.60

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Solution

The fourth proportional to 620.40, 935.46 and 543.60 is: 819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.40 : 935.46 = 543.60 : x
  2. Step 2: Convert to fraction form
    620.40/935.46 = 543.60/x
  3. Step 3: Cross multiply
    620.40x = 935.46 × 543.60
  4. Step 4: Simplify right side
    620.40x = 508,516.06
  5. Step 5: Solve for x
    x = 508,516.06/620.40
  6. Step 6: Final answer
    x = 819.66

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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.