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Finding the Fourth Proportional to 909.15, 1,361.30 and 543.03

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Solution

The fourth proportional to 909.15, 1,361.30 and 543.03 is: 813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.15 : 1,361.30 = 543.03 : x
  2. Step 2: Convert to fraction form
    909.15/1,361.30 = 543.03/x
  3. Step 3: Cross multiply
    909.15x = 1,361.30 × 543.03
  4. Step 4: Simplify right side
    909.15x = 739,224.02
  5. Step 5: Solve for x
    x = 739,224.02/909.15
  6. Step 6: Final answer
    x = 813.09

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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.