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Finding the Fourth Proportional to 1,055.25, 1,455.06 and 681.74

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Solution

The fourth proportional to 1,055.25, 1,455.06 and 681.74 is: 940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.25 : 1,455.06 = 681.74 : x
  2. Step 2: Convert to fraction form
    1,055.25/1,455.06 = 681.74/x
  3. Step 3: Cross multiply
    1,055.25x = 1,455.06 × 681.74
  4. Step 4: Simplify right side
    1,055.25x = 991,972.60
  5. Step 5: Solve for x
    x = 991,972.60/1,055.25
  6. Step 6: Final answer
    x = 940.04

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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.