Home / 1,461.56-2,191.96-421.57

Finding the Fourth Proportional to 1,461.56, 2,191.96 and 421.57

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Solution

The fourth proportional to 1,461.56, 2,191.96 and 421.57 is: 632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.56 : 2,191.96 = 421.57 : x
  2. Step 2: Convert to fraction form
    1,461.56/2,191.96 = 421.57/x
  3. Step 3: Cross multiply
    1,461.56x = 2,191.96 × 421.57
  4. Step 4: Simplify right side
    1,461.56x = 924,064.58
  5. Step 5: Solve for x
    x = 924,064.58/1,461.56
  6. Step 6: Final answer
    x = 632.25

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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.