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Finding the Fourth Proportional to 982.98, 1,467.42 and 948.78

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Solution

The fourth proportional to 982.98, 1,467.42 and 948.78 is: 1,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.98 : 1,467.42 = 948.78 : x
  2. Step 2: Convert to fraction form
    982.98/1,467.42 = 948.78/x
  3. Step 3: Cross multiply
    982.98x = 1,467.42 × 948.78
  4. Step 4: Simplify right side
    982.98x = 1,392,258.75
  5. Step 5: Solve for x
    x = 1,392,258.75/982.98
  6. Step 6: Final answer
    x = 1,416.37

Related Problems

Find fourth proportional to 491.49, 733.71 and 474.39
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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.