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Finding the Fourth Proportional to 1,258.88, 1,737.25 and 735.01

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Solution

The fourth proportional to 1,258.88, 1,737.25 and 735.01 is: 1,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.88 : 1,737.25 = 735.01 : x
  2. Step 2: Convert to fraction form
    1,258.88/1,737.25 = 735.01/x
  3. Step 3: Cross multiply
    1,258.88x = 1,737.25 × 735.01
  4. Step 4: Simplify right side
    1,258.88x = 1,276,889.94
  5. Step 5: Solve for x
    x = 1,276,889.94/1,258.88
  6. Step 6: Final answer
    x = 1,014.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.