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Finding the Fourth Proportional to 1,457.75, 2,186.97 and 580.31

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Solution

The fourth proportional to 1,457.75, 2,186.97 and 580.31 is: 870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.75 : 2,186.97 = 580.31 : x
  2. Step 2: Convert to fraction form
    1,457.75/2,186.97 = 580.31/x
  3. Step 3: Cross multiply
    1,457.75x = 2,186.97 × 580.31
  4. Step 4: Simplify right side
    1,457.75x = 1,269,109.50
  5. Step 5: Solve for x
    x = 1,269,109.50/1,457.75
  6. Step 6: Final answer
    x = 870.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.