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Finding the Fourth Proportional to 746.06, 1,117.83 and 456.89

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Solution

The fourth proportional to 746.06, 1,117.83 and 456.89 is: 684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.06 : 1,117.83 = 456.89 : x
  2. Step 2: Convert to fraction form
    746.06/1,117.83 = 456.89/x
  3. Step 3: Cross multiply
    746.06x = 1,117.83 × 456.89
  4. Step 4: Simplify right side
    746.06x = 510,725.35
  5. Step 5: Solve for x
    x = 510,725.35/746.06
  6. Step 6: Final answer
    x = 684.56

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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.