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Finding the Fourth Proportional to 1,380.43, 2,070.64 and 406.52

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Solution

The fourth proportional to 1,380.43, 2,070.64 and 406.52 is: 609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.43 : 2,070.64 = 406.52 : x
  2. Step 2: Convert to fraction form
    1,380.43/2,070.64 = 406.52/x
  3. Step 3: Cross multiply
    1,380.43x = 2,070.64 × 406.52
  4. Step 4: Simplify right side
    1,380.43x = 841,746.22
  5. Step 5: Solve for x
    x = 841,746.22/1,380.43
  6. Step 6: Final answer
    x = 609.77

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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.