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Finding the Fourth Proportional to 1,258.22, 1,887.67 and 436.50

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Solution

The fourth proportional to 1,258.22, 1,887.67 and 436.50 is: 654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.22 : 1,887.67 = 436.50 : x
  2. Step 2: Convert to fraction form
    1,258.22/1,887.67 = 436.50/x
  3. Step 3: Cross multiply
    1,258.22x = 1,887.67 × 436.50
  4. Step 4: Simplify right side
    1,258.22x = 823,964.87
  5. Step 5: Solve for x
    x = 823,964.87/1,258.22
  6. Step 6: Final answer
    x = 654.86

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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.