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Finding the Fourth Proportional to 742.63, 1,114.67 and 538.51

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Solution

The fourth proportional to 742.63, 1,114.67 and 538.51 is: 808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.63 : 1,114.67 = 538.51 : x
  2. Step 2: Convert to fraction form
    742.63/1,114.67 = 538.51/x
  3. Step 3: Cross multiply
    742.63x = 1,114.67 × 538.51
  4. Step 4: Simplify right side
    742.63x = 600,260.94
  5. Step 5: Solve for x
    x = 600,260.94/742.63
  6. Step 6: Final answer
    x = 808.29

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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.