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Finding the Fourth Proportional to 1,258.35, 1,885.40 and 770.39

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Solution

The fourth proportional to 1,258.35, 1,885.40 and 770.39 is: 1,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.35 : 1,885.40 = 770.39 : x
  2. Step 2: Convert to fraction form
    1,258.35/1,885.40 = 770.39/x
  3. Step 3: Cross multiply
    1,258.35x = 1,885.40 × 770.39
  4. Step 4: Simplify right side
    1,258.35x = 1,452,480.03
  5. Step 5: Solve for x
    x = 1,452,480.03/1,258.35
  6. Step 6: Final answer
    x = 1,154.27

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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.