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Finding the Fourth Proportional to 1,054.06, 1,454.12 and 681.16

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Solution

The fourth proportional to 1,054.06, 1,454.12 and 681.16 is: 939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.06 : 1,454.12 = 681.16 : x
  2. Step 2: Convert to fraction form
    1,054.06/1,454.12 = 681.16/x
  3. Step 3: Cross multiply
    1,054.06x = 1,454.12 × 681.16
  4. Step 4: Simplify right side
    1,054.06x = 990,488.38
  5. Step 5: Solve for x
    x = 990,488.38/1,054.06
  6. Step 6: Final answer
    x = 939.69

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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.