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Finding the Fourth Proportional to 1,170.50, 1,614.96 and 666.37

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Solution

The fourth proportional to 1,170.50, 1,614.96 and 666.37 is: 919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.50 : 1,614.96 = 666.37 : x
  2. Step 2: Convert to fraction form
    1,170.50/1,614.96 = 666.37/x
  3. Step 3: Cross multiply
    1,170.50x = 1,614.96 × 666.37
  4. Step 4: Simplify right side
    1,170.50x = 1,076,155.30
  5. Step 5: Solve for x
    x = 1,076,155.30/1,170.50
  6. Step 6: Final answer
    x = 919.39

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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.