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Finding the Fourth Proportional to 537.80, 743.06 and 505.32

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Solution

The fourth proportional to 537.80, 743.06 and 505.32 is: 698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 743.06 = 505.32 : x
  2. Step 2: Convert to fraction form
    537.80/743.06 = 505.32/x
  3. Step 3: Cross multiply
    537.80x = 743.06 × 505.32
  4. Step 4: Simplify right side
    537.80x = 375,483.08
  5. Step 5: Solve for x
    x = 375,483.08/537.80
  6. Step 6: Final answer
    x = 698.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.