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Finding the Fourth Proportional to 1,368.29, 1,888.16 and 778.79

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Solution

The fourth proportional to 1,368.29, 1,888.16 and 778.79 is: 1,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.29 : 1,888.16 = 778.79 : x
  2. Step 2: Convert to fraction form
    1,368.29/1,888.16 = 778.79/x
  3. Step 3: Cross multiply
    1,368.29x = 1,888.16 × 778.79
  4. Step 4: Simplify right side
    1,368.29x = 1,470,480.95
  5. Step 5: Solve for x
    x = 1,470,480.95/1,368.29
  6. Step 6: Final answer
    x = 1,074.68

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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.