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Finding the Fourth Proportional to 1,054.37, 1,454.91 and 606.29

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Solution

The fourth proportional to 1,054.37, 1,454.91 and 606.29 is: 836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.37 : 1,454.91 = 606.29 : x
  2. Step 2: Convert to fraction form
    1,054.37/1,454.91 = 606.29/x
  3. Step 3: Cross multiply
    1,054.37x = 1,454.91 × 606.29
  4. Step 4: Simplify right side
    1,054.37x = 882,091.25
  5. Step 5: Solve for x
    x = 882,091.25/1,054.37
  6. Step 6: Final answer
    x = 836.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.