Home / 1,457.08-2,010.78-867.63

Finding the Fourth Proportional to 1,457.08, 2,010.78 and 867.63

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Solution

The fourth proportional to 1,457.08, 2,010.78 and 867.63 is: 1,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.08 : 2,010.78 = 867.63 : x
  2. Step 2: Convert to fraction form
    1,457.08/2,010.78 = 867.63/x
  3. Step 3: Cross multiply
    1,457.08x = 2,010.78 × 867.63
  4. Step 4: Simplify right side
    1,457.08x = 1,744,620.59
  5. Step 5: Solve for x
    x = 1,744,620.59/1,457.08
  6. Step 6: Final answer
    x = 1,197.34

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1.5x scale

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.