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Finding the Fourth Proportional to 1,380.53, 2,070.80 and 407.32

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Solution

The fourth proportional to 1,380.53, 2,070.80 and 407.32 is: 610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.53 : 2,070.80 = 407.32 : x
  2. Step 2: Convert to fraction form
    1,380.53/2,070.80 = 407.32/x
  3. Step 3: Cross multiply
    1,380.53x = 2,070.80 × 407.32
  4. Step 4: Simplify right side
    1,380.53x = 843,478.26
  5. Step 5: Solve for x
    x = 843,478.26/1,380.53
  6. Step 6: Final answer
    x = 610.98

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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.