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Finding the Fourth Proportional to 1,054.16, 1,455.71 and 681.78

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Solution

The fourth proportional to 1,054.16, 1,455.71 and 681.78 is: 941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.16 : 1,455.71 = 681.78 : x
  2. Step 2: Convert to fraction form
    1,054.16/1,455.71 = 681.78/x
  3. Step 3: Cross multiply
    1,054.16x = 1,455.71 × 681.78
  4. Step 4: Simplify right side
    1,054.16x = 992,470.55
  5. Step 5: Solve for x
    x = 992,470.55/1,054.16
  6. Step 6: Final answer
    x = 941.48

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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.