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Finding the Fourth Proportional to 1,405.47, 2,108.19 and 431.56

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Solution

The fourth proportional to 1,405.47, 2,108.19 and 431.56 is: 647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.47 : 2,108.19 = 431.56 : x
  2. Step 2: Convert to fraction form
    1,405.47/2,108.19 = 431.56/x
  3. Step 3: Cross multiply
    1,405.47x = 2,108.19 × 431.56
  4. Step 4: Simplify right side
    1,405.47x = 909,810.48
  5. Step 5: Solve for x
    x = 909,810.48/1,405.47
  6. Step 6: Final answer
    x = 647.34

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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.