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Finding the Fourth Proportional to 1,258.63, 1,887.74 and 478.60

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Solution

The fourth proportional to 1,258.63, 1,887.74 and 478.60 is: 717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.63 : 1,887.74 = 478.60 : x
  2. Step 2: Convert to fraction form
    1,258.63/1,887.74 = 478.60/x
  3. Step 3: Cross multiply
    1,258.63x = 1,887.74 × 478.60
  4. Step 4: Simplify right side
    1,258.63x = 903,472.36
  5. Step 5: Solve for x
    x = 903,472.36/1,258.63
  6. Step 6: Final answer
    x = 717.82

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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.