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Finding the Fourth Proportional to 1,368.26, 1,888.10 and 778.66

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Solution

The fourth proportional to 1,368.26, 1,888.10 and 778.66 is: 1,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.26 : 1,888.10 = 778.66 : x
  2. Step 2: Convert to fraction form
    1,368.26/1,888.10 = 778.66/x
  3. Step 3: Cross multiply
    1,368.26x = 1,888.10 × 778.66
  4. Step 4: Simplify right side
    1,368.26x = 1,470,187.95
  5. Step 5: Solve for x
    x = 1,470,187.95/1,368.26
  6. Step 6: Final answer
    x = 1,074.49

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1.5x scale

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.