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Finding the Fourth Proportional to 1,258.98, 1,888.20 and 790.23

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Solution

The fourth proportional to 1,258.98, 1,888.20 and 790.23 is: 1,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.98 : 1,888.20 = 790.23 : x
  2. Step 2: Convert to fraction form
    1,258.98/1,888.20 = 790.23/x
  3. Step 3: Cross multiply
    1,258.98x = 1,888.20 × 790.23
  4. Step 4: Simplify right side
    1,258.98x = 1,492,112.29
  5. Step 5: Solve for x
    x = 1,492,112.29/1,258.98
  6. Step 6: Final answer
    x = 1,185.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.