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Finding the Fourth Proportional to 1,334.47, 1,840.64 and 1,054.26

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Solution

The fourth proportional to 1,334.47, 1,840.64 and 1,054.26 is: 1,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.47 : 1,840.64 = 1,054.26 : x
  2. Step 2: Convert to fraction form
    1,334.47/1,840.64 = 1,054.26/x
  3. Step 3: Cross multiply
    1,334.47x = 1,840.64 × 1,054.26
  4. Step 4: Simplify right side
    1,334.47x = 1,940,513.13
  5. Step 5: Solve for x
    x = 1,940,513.13/1,334.47
  6. Step 6: Final answer
    x = 1,454.15

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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.