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Finding the Fourth Proportional to 986.35, 1,478.46 and 657.39

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Solution

The fourth proportional to 986.35, 1,478.46 and 657.39 is: 985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.35 : 1,478.46 = 657.39 : x
  2. Step 2: Convert to fraction form
    986.35/1,478.46 = 657.39/x
  3. Step 3: Cross multiply
    986.35x = 1,478.46 × 657.39
  4. Step 4: Simplify right side
    986.35x = 971,924.82
  5. Step 5: Solve for x
    x = 971,924.82/986.35
  6. Step 6: Final answer
    x = 985.38

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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.