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Finding the Fourth Proportional to 1,055.75, 1,457.00 and 683.81

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Solution

The fourth proportional to 1,055.75, 1,457.00 and 683.81 is: 943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.75 : 1,457.00 = 683.81 : x
  2. Step 2: Convert to fraction form
    1,055.75/1,457.00 = 683.81/x
  3. Step 3: Cross multiply
    1,055.75x = 1,457.00 × 683.81
  4. Step 4: Simplify right side
    1,055.75x = 996,300.47
  5. Step 5: Solve for x
    x = 996,300.47/1,055.75
  6. Step 6: Final answer
    x = 943.69

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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.