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Finding the Fourth Proportional to 737.56, 1,103.93 and 542.51

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Solution

The fourth proportional to 737.56, 1,103.93 and 542.51 is: 811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.56 : 1,103.93 = 542.51 : x
  2. Step 2: Convert to fraction form
    737.56/1,103.93 = 542.51/x
  3. Step 3: Cross multiply
    737.56x = 1,103.93 × 542.51
  4. Step 4: Simplify right side
    737.56x = 598,893.06
  5. Step 5: Solve for x
    x = 598,893.06/737.56
  6. Step 6: Final answer
    x = 811.99

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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.