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Finding the Fourth Proportional to 1,201.15, 1,657.61 and 703.81

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Solution

The fourth proportional to 1,201.15, 1,657.61 and 703.81 is: 971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.15 : 1,657.61 = 703.81 : x
  2. Step 2: Convert to fraction form
    1,201.15/1,657.61 = 703.81/x
  3. Step 3: Cross multiply
    1,201.15x = 1,657.61 × 703.81
  4. Step 4: Simplify right side
    1,201.15x = 1,166,638.32
  5. Step 5: Solve for x
    x = 1,166,638.32/1,201.15
  6. Step 6: Final answer
    x = 971.27

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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.