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Finding the Fourth Proportional to 1,258.35, 1,887.69 and 478.64

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Solution

The fourth proportional to 1,258.35, 1,887.69 and 478.64 is: 718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.35 : 1,887.69 = 478.64 : x
  2. Step 2: Convert to fraction form
    1,258.35/1,887.69 = 478.64/x
  3. Step 3: Cross multiply
    1,258.35x = 1,887.69 × 478.64
  4. Step 4: Simplify right side
    1,258.35x = 903,523.94
  5. Step 5: Solve for x
    x = 903,523.94/1,258.35
  6. Step 6: Final answer
    x = 718.02

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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.