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Finding the Fourth Proportional to 1,457.74, 2,186.86 and 580.25

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Solution

The fourth proportional to 1,457.74, 2,186.86 and 580.25 is: 870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.74 : 2,186.86 = 580.25 : x
  2. Step 2: Convert to fraction form
    1,457.74/2,186.86 = 580.25/x
  3. Step 3: Cross multiply
    1,457.74x = 2,186.86 × 580.25
  4. Step 4: Simplify right side
    1,457.74x = 1,268,929.53
  5. Step 5: Solve for x
    x = 1,268,929.53/1,457.74
  6. Step 6: Final answer
    x = 870.48

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