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Finding the Fourth Proportional to 1,258.93, 1,897.72 and 1,043.88

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Solution

The fourth proportional to 1,258.93, 1,897.72 and 1,043.88 is: 1,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.93 : 1,897.72 = 1,043.88 : x
  2. Step 2: Convert to fraction form
    1,258.93/1,897.72 = 1,043.88/x
  3. Step 3: Cross multiply
    1,258.93x = 1,897.72 × 1,043.88
  4. Step 4: Simplify right side
    1,258.93x = 1,980,991.95
  5. Step 5: Solve for x
    x = 1,980,991.95/1,258.93
  6. Step 6: Final answer
    x = 1,573.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.