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Finding the Fourth Proportional to 1,258.15, 1,886.36 and 640.66

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Solution

The fourth proportional to 1,258.15, 1,886.36 and 640.66 is: 960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.15 : 1,886.36 = 640.66 : x
  2. Step 2: Convert to fraction form
    1,258.15/1,886.36 = 640.66/x
  3. Step 3: Cross multiply
    1,258.15x = 1,886.36 × 640.66
  4. Step 4: Simplify right side
    1,258.15x = 1,208,516.42
  5. Step 5: Solve for x
    x = 1,208,516.42/1,258.15
  6. Step 6: Final answer
    x = 960.55

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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.