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Finding the Fourth Proportional to 1,457.93, 2,185.76 and 764.12

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Solution

The fourth proportional to 1,457.93, 2,185.76 and 764.12 is: 1,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.93 : 2,185.76 = 764.12 : x
  2. Step 2: Convert to fraction form
    1,457.93/2,185.76 = 764.12/x
  3. Step 3: Cross multiply
    1,457.93x = 2,185.76 × 764.12
  4. Step 4: Simplify right side
    1,457.93x = 1,670,168.18
  5. Step 5: Solve for x
    x = 1,670,168.18/1,457.93
  6. Step 6: Final answer
    x = 1,145.58

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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.