Home / 1,503.22-2,254.82-407.58

Finding the Fourth Proportional to 1,503.22, 2,254.82 and 407.58

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Solution

The fourth proportional to 1,503.22, 2,254.82 and 407.58 is: 611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.22 : 2,254.82 = 407.58 : x
  2. Step 2: Convert to fraction form
    1,503.22/2,254.82 = 407.58/x
  3. Step 3: Cross multiply
    1,503.22x = 2,254.82 × 407.58
  4. Step 4: Simplify right side
    1,503.22x = 919,020.55
  5. Step 5: Solve for x
    x = 919,020.55/1,503.22
  6. Step 6: Final answer
    x = 611.37

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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.