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Finding the Fourth Proportional to 1,495.08, 2,063.42 and 905.81

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Solution

The fourth proportional to 1,495.08, 2,063.42 and 905.81 is: 1,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.08 : 2,063.42 = 905.81 : x
  2. Step 2: Convert to fraction form
    1,495.08/2,063.42 = 905.81/x
  3. Step 3: Cross multiply
    1,495.08x = 2,063.42 × 905.81
  4. Step 4: Simplify right side
    1,495.08x = 1,869,051.62
  5. Step 5: Solve for x
    x = 1,869,051.62/1,495.08
  6. Step 6: Final answer
    x = 1,250.13

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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.