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Finding the Fourth Proportional to 986.19, 1,478.37 and 336.47

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Solution

The fourth proportional to 986.19, 1,478.37 and 336.47 is: 504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.19 : 1,478.37 = 336.47 : x
  2. Step 2: Convert to fraction form
    986.19/1,478.37 = 336.47/x
  3. Step 3: Cross multiply
    986.19x = 1,478.37 × 336.47
  4. Step 4: Simplify right side
    986.19x = 497,427.15
  5. Step 5: Solve for x
    x = 497,427.15/986.19
  6. Step 6: Final answer
    x = 504.39

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.