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Finding the Fourth Proportional to 1,258.80, 1,887.45 and 772.20

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Solution

The fourth proportional to 1,258.80, 1,887.45 and 772.20 is: 1,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.80 : 1,887.45 = 772.20 : x
  2. Step 2: Convert to fraction form
    1,258.80/1,887.45 = 772.20/x
  3. Step 3: Cross multiply
    1,258.80x = 1,887.45 × 772.20
  4. Step 4: Simplify right side
    1,258.80x = 1,457,488.89
  5. Step 5: Solve for x
    x = 1,457,488.89/1,258.80
  6. Step 6: Final answer
    x = 1,157.84

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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.