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Finding the Fourth Proportional to 537.10, 804.84 and 354.34

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Solution

The fourth proportional to 537.10, 804.84 and 354.34 is: 530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.10 : 804.84 = 354.34 : x
  2. Step 2: Convert to fraction form
    537.10/804.84 = 354.34/x
  3. Step 3: Cross multiply
    537.10x = 804.84 × 354.34
  4. Step 4: Simplify right side
    537.10x = 285,187.01
  5. Step 5: Solve for x
    x = 285,187.01/537.10
  6. Step 6: Final answer
    x = 530.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.