Home / 1,461.21-2,191.58-420.98

Finding the Fourth Proportional to 1,461.21, 2,191.58 and 420.98

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Solution

The fourth proportional to 1,461.21, 2,191.58 and 420.98 is: 631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.21 : 2,191.58 = 420.98 : x
  2. Step 2: Convert to fraction form
    1,461.21/2,191.58 = 420.98/x
  3. Step 3: Cross multiply
    1,461.21x = 2,191.58 × 420.98
  4. Step 4: Simplify right side
    1,461.21x = 922,598.29
  5. Step 5: Solve for x
    x = 922,598.29/1,461.21
  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.