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Finding the Fourth Proportional to 1,215.54, 1,678.23 and 1,084.32

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Solution

The fourth proportional to 1,215.54, 1,678.23 and 1,084.32 is: 1,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.54 : 1,678.23 = 1,084.32 : x
  2. Step 2: Convert to fraction form
    1,215.54/1,678.23 = 1,084.32/x
  3. Step 3: Cross multiply
    1,215.54x = 1,678.23 × 1,084.32
  4. Step 4: Simplify right side
    1,215.54x = 1,819,738.35
  5. Step 5: Solve for x
    x = 1,819,738.35/1,215.54
  6. Step 6: Final answer
    x = 1,497.06

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Half scale
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Double scale
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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.