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Finding the Fourth Proportional to 1,258.63, 1,888.40 and 600.71

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Solution

The fourth proportional to 1,258.63, 1,888.40 and 600.71 is: 901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.63 : 1,888.40 = 600.71 : x
  2. Step 2: Convert to fraction form
    1,258.63/1,888.40 = 600.71/x
  3. Step 3: Cross multiply
    1,258.63x = 1,888.40 × 600.71
  4. Step 4: Simplify right side
    1,258.63x = 1,134,372.82
  5. Step 5: Solve for x
    x = 1,134,372.82/1,258.63
  6. Step 6: Final answer
    x = 901.28

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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.