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Finding the Fourth Proportional to 1,258.83, 1,886.18 and 770.49

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Solution

The fourth proportional to 1,258.83, 1,886.18 and 770.49 is: 1,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.83 : 1,886.18 = 770.49 : x
  2. Step 2: Convert to fraction form
    1,258.83/1,886.18 = 770.49/x
  3. Step 3: Cross multiply
    1,258.83x = 1,886.18 × 770.49
  4. Step 4: Simplify right side
    1,258.83x = 1,453,278.98
  5. Step 5: Solve for x
    x = 1,453,278.98/1,258.83
  6. Step 6: Final answer
    x = 1,154.47

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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.