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Finding the Fourth Proportional to 1,405.76, 2,108.72 and 583.56

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Solution

The fourth proportional to 1,405.76, 2,108.72 and 583.56 is: 875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.76 : 2,108.72 = 583.56 : x
  2. Step 2: Convert to fraction form
    1,405.76/2,108.72 = 583.56/x
  3. Step 3: Cross multiply
    1,405.76x = 2,108.72 × 583.56
  4. Step 4: Simplify right side
    1,405.76x = 1,230,564.64
  5. Step 5: Solve for x
    x = 1,230,564.64/1,405.76
  6. Step 6: Final answer
    x = 875.37

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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.