Home / 1,056.09-1,457.81-945.36

Finding the Fourth Proportional to 1,056.09, 1,457.81 and 945.36

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Solution

The fourth proportional to 1,056.09, 1,457.81 and 945.36 is: 1,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.09 : 1,457.81 = 945.36 : x
  2. Step 2: Convert to fraction form
    1,056.09/1,457.81 = 945.36/x
  3. Step 3: Cross multiply
    1,056.09x = 1,457.81 × 945.36
  4. Step 4: Simplify right side
    1,056.09x = 1,378,150.53
  5. Step 5: Solve for x
    x = 1,378,150.53/1,056.09
  6. Step 6: Final answer
    x = 1,304.96

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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.