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Finding the Fourth Proportional to 1,405.58, 2,108.27 and 431.63

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Solution

The fourth proportional to 1,405.58, 2,108.27 and 431.63 is: 647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.58 : 2,108.27 = 431.63 : x
  2. Step 2: Convert to fraction form
    1,405.58/2,108.27 = 431.63/x
  3. Step 3: Cross multiply
    1,405.58x = 2,108.27 × 431.63
  4. Step 4: Simplify right side
    1,405.58x = 909,983.12
  5. Step 5: Solve for x
    x = 909,983.12/1,405.58
  6. Step 6: Final answer
    x = 647.41

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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.