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Finding the Fourth Proportional to 746.61, 1,117.90 and 485.83

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Solution

The fourth proportional to 746.61, 1,117.90 and 485.83 is: 727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.61 : 1,117.90 = 485.83 : x
  2. Step 2: Convert to fraction form
    746.61/1,117.90 = 485.83/x
  3. Step 3: Cross multiply
    746.61x = 1,117.90 × 485.83
  4. Step 4: Simplify right side
    746.61x = 543,109.36
  5. Step 5: Solve for x
    x = 543,109.36/746.61
  6. Step 6: Final answer
    x = 727.43

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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.