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Finding the Fourth Proportional to 537.19, 800.40 and 513.60

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Solution

The fourth proportional to 537.19, 800.40 and 513.60 is: 765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.19 : 800.40 = 513.60 : x
  2. Step 2: Convert to fraction form
    537.19/800.40 = 513.60/x
  3. Step 3: Cross multiply
    537.19x = 800.40 × 513.60
  4. Step 4: Simplify right side
    537.19x = 411,085.44
  5. Step 5: Solve for x
    x = 411,085.44/537.19
  6. Step 6: Final answer
    x = 765.25

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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.