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Finding the Fourth Proportional to 1,405.35, 2,108.63 and 675.14

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Solution

The fourth proportional to 1,405.35, 2,108.63 and 675.14 is: 1,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.35 : 2,108.63 = 675.14 : x
  2. Step 2: Convert to fraction form
    1,405.35/2,108.63 = 675.14/x
  3. Step 3: Cross multiply
    1,405.35x = 2,108.63 × 675.14
  4. Step 4: Simplify right side
    1,405.35x = 1,423,611.60
  5. Step 5: Solve for x
    x = 1,423,611.60/1,405.35
  6. Step 6: Final answer
    x = 1,012.99

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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.