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Finding the Fourth Proportional to 1,258.49, 1,887.46 and 478.58

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Solution

The fourth proportional to 1,258.49, 1,887.46 and 478.58 is: 717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.49 : 1,887.46 = 478.58 : x
  2. Step 2: Convert to fraction form
    1,258.49/1,887.46 = 478.58/x
  3. Step 3: Cross multiply
    1,258.49x = 1,887.46 × 478.58
  4. Step 4: Simplify right side
    1,258.49x = 903,289.97
  5. Step 5: Solve for x
    x = 903,289.97/1,258.49
  6. Step 6: Final answer
    x = 717.76

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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.