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Finding the Fourth Proportional to 1,703.58, 2,555.81 and 778.70

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Solution

The fourth proportional to 1,703.58, 2,555.81 and 778.70 is: 1,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.58 : 2,555.81 = 778.70 : x
  2. Step 2: Convert to fraction form
    1,703.58/2,555.81 = 778.70/x
  3. Step 3: Cross multiply
    1,703.58x = 2,555.81 × 778.70
  4. Step 4: Simplify right side
    1,703.58x = 1,990,196.47
  5. Step 5: Solve for x
    x = 1,990,196.47/1,703.58
  6. Step 6: Final answer
    x = 1,168.24

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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.