Home / 1,457.52-2,010.24-933.60

Finding the Fourth Proportional to 1,457.52, 2,010.24 and 933.60

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Solution

The fourth proportional to 1,457.52, 2,010.24 and 933.60 is: 1,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.52 : 2,010.24 = 933.60 : x
  2. Step 2: Convert to fraction form
    1,457.52/2,010.24 = 933.60/x
  3. Step 3: Cross multiply
    1,457.52x = 2,010.24 × 933.60
  4. Step 4: Simplify right side
    1,457.52x = 1,876,760.06
  5. Step 5: Solve for x
    x = 1,876,760.06/1,457.52
  6. Step 6: Final answer
    x = 1,287.64

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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.