Home / 1,475.09-2,212.37-420.98

Finding the Fourth Proportional to 1,475.09, 2,212.37 and 420.98

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Solution

The fourth proportional to 1,475.09, 2,212.37 and 420.98 is: 631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.09 : 2,212.37 = 420.98 : x
  2. Step 2: Convert to fraction form
    1,475.09/2,212.37 = 420.98/x
  3. Step 3: Cross multiply
    1,475.09x = 2,212.37 × 420.98
  4. Step 4: Simplify right side
    1,475.09x = 931,352.46
  5. Step 5: Solve for x
    x = 931,352.46/1,475.09
  6. Step 6: Final answer
    x = 631.39

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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.