Home / 1,056.05-1,457.97-724.97

Finding the Fourth Proportional to 1,056.05, 1,457.97 and 724.97

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Solution

The fourth proportional to 1,056.05, 1,457.97 and 724.97 is: 1,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.05 : 1,457.97 = 724.97 : x
  2. Step 2: Convert to fraction form
    1,056.05/1,457.97 = 724.97/x
  3. Step 3: Cross multiply
    1,056.05x = 1,457.97 × 724.97
  4. Step 4: Simplify right side
    1,056.05x = 1,056,984.51
  5. Step 5: Solve for x
    x = 1,056,984.51/1,056.05
  6. Step 6: Final answer
    x = 1,000.88

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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.