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Finding the Fourth Proportional to 1,316.08, 1,970.47 and 665.45

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Solution

The fourth proportional to 1,316.08, 1,970.47 and 665.45 is: 996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.08 : 1,970.47 = 665.45 : x
  2. Step 2: Convert to fraction form
    1,316.08/1,970.47 = 665.45/x
  3. Step 3: Cross multiply
    1,316.08x = 1,970.47 × 665.45
  4. Step 4: Simplify right side
    1,316.08x = 1,311,245.93
  5. Step 5: Solve for x
    x = 1,311,245.93/1,316.08
  6. Step 6: Final answer
    x = 996.33

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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.