Home / 1,058.27-1,457.10-961.07

Finding the Fourth Proportional to 1,058.27, 1,457.10 and 961.07

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Solution

The fourth proportional to 1,058.27, 1,457.10 and 961.07 is: 1,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.27 : 1,457.10 = 961.07 : x
  2. Step 2: Convert to fraction form
    1,058.27/1,457.10 = 961.07/x
  3. Step 3: Cross multiply
    1,058.27x = 1,457.10 × 961.07
  4. Step 4: Simplify right side
    1,058.27x = 1,400,375.10
  5. Step 5: Solve for x
    x = 1,400,375.10/1,058.27
  6. Step 6: Final answer
    x = 1,323.27

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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.