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Finding the Fourth Proportional to 746.01, 1,117.83 and 380.31

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Solution

The fourth proportional to 746.01, 1,117.83 and 380.31 is: 569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.01 : 1,117.83 = 380.31 : x
  2. Step 2: Convert to fraction form
    746.01/1,117.83 = 380.31/x
  3. Step 3: Cross multiply
    746.01x = 1,117.83 × 380.31
  4. Step 4: Simplify right side
    746.01x = 425,121.93
  5. Step 5: Solve for x
    x = 425,121.93/746.01
  6. Step 6: Final answer
    x = 569.86

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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.