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Finding the Fourth Proportional to 1,705.48, 2,555.13 and 781.81

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Solution

The fourth proportional to 1,705.48, 2,555.13 and 781.81 is: 1,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.48 : 2,555.13 = 781.81 : x
  2. Step 2: Convert to fraction form
    1,705.48/2,555.13 = 781.81/x
  3. Step 3: Cross multiply
    1,705.48x = 2,555.13 × 781.81
  4. Step 4: Simplify right side
    1,705.48x = 1,997,626.19
  5. Step 5: Solve for x
    x = 1,997,626.19/1,705.48
  6. Step 6: Final answer
    x = 1,171.30

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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.