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Finding the Fourth Proportional to 537.22, 802.08 and 504.42

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Solution

The fourth proportional to 537.22, 802.08 and 504.42 is: 753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.22 : 802.08 = 504.42 : x
  2. Step 2: Convert to fraction form
    537.22/802.08 = 504.42/x
  3. Step 3: Cross multiply
    537.22x = 802.08 × 504.42
  4. Step 4: Simplify right side
    537.22x = 404,585.19
  5. Step 5: Solve for x
    x = 404,585.19/537.22
  6. Step 6: Final answer
    x = 753.11

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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.