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Finding the Fourth Proportional to 1,290.35, 1,780.32 and 848.39

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Solution

The fourth proportional to 1,290.35, 1,780.32 and 848.39 is: 1,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.35 : 1,780.32 = 848.39 : x
  2. Step 2: Convert to fraction form
    1,290.35/1,780.32 = 848.39/x
  3. Step 3: Cross multiply
    1,290.35x = 1,780.32 × 848.39
  4. Step 4: Simplify right side
    1,290.35x = 1,510,405.68
  5. Step 5: Solve for x
    x = 1,510,405.68/1,290.35
  6. Step 6: Final answer
    x = 1,170.54

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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.