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Finding the Fourth Proportional to 537.60, 802.28 and 534.64

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Solution

The fourth proportional to 537.60, 802.28 and 534.64 is: 797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.60 : 802.28 = 534.64 : x
  2. Step 2: Convert to fraction form
    537.60/802.28 = 534.64/x
  3. Step 3: Cross multiply
    537.60x = 802.28 × 534.64
  4. Step 4: Simplify right side
    537.60x = 428,930.98
  5. Step 5: Solve for x
    x = 428,930.98/537.60
  6. Step 6: Final answer
    x = 797.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.