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Finding the Fourth Proportional to 1,213.90, 1,821.64 and 666.46

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Solution

The fourth proportional to 1,213.90, 1,821.64 and 666.46 is: 1,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.90 : 1,821.64 = 666.46 : x
  2. Step 2: Convert to fraction form
    1,213.90/1,821.64 = 666.46/x
  3. Step 3: Cross multiply
    1,213.90x = 1,821.64 × 666.46
  4. Step 4: Simplify right side
    1,213.90x = 1,214,050.19
  5. Step 5: Solve for x
    x = 1,214,050.19/1,213.90
  6. Step 6: Final answer
    x = 1,000.12

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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.