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Finding the Fourth Proportional to 1,703.50, 2,350.83 and 957.45

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Solution

The fourth proportional to 1,703.50, 2,350.83 and 957.45 is: 1,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.50 : 2,350.83 = 957.45 : x
  2. Step 2: Convert to fraction form
    1,703.50/2,350.83 = 957.45/x
  3. Step 3: Cross multiply
    1,703.50x = 2,350.83 × 957.45
  4. Step 4: Simplify right side
    1,703.50x = 2,250,802.18
  5. Step 5: Solve for x
    x = 2,250,802.18/1,703.50
  6. Step 6: Final answer
    x = 1,321.28

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