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Finding the Fourth Proportional to 1,054.36, 1,454.79 and 706.06

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Solution

The fourth proportional to 1,054.36, 1,454.79 and 706.06 is: 974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.36 : 1,454.79 = 706.06 : x
  2. Step 2: Convert to fraction form
    1,054.36/1,454.79 = 706.06/x
  3. Step 3: Cross multiply
    1,054.36x = 1,454.79 × 706.06
  4. Step 4: Simplify right side
    1,054.36x = 1,027,169.03
  5. Step 5: Solve for x
    x = 1,027,169.03/1,054.36
  6. Step 6: Final answer
    x = 974.21

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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.