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Finding the Fourth Proportional to 1,457.57, 2,185.84 and 483.41

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Solution

The fourth proportional to 1,457.57, 2,185.84 and 483.41 is: 724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.57 : 2,185.84 = 483.41 : x
  2. Step 2: Convert to fraction form
    1,457.57/2,185.84 = 483.41/x
  3. Step 3: Cross multiply
    1,457.57x = 2,185.84 × 483.41
  4. Step 4: Simplify right side
    1,457.57x = 1,056,656.91
  5. Step 5: Solve for x
    x = 1,056,656.91/1,457.57
  6. Step 6: Final answer
    x = 724.94

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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.