Home / 1,114.23-1,670.41-420.51

Finding the Fourth Proportional to 1,114.23, 1,670.41 and 420.51

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Solution

The fourth proportional to 1,114.23, 1,670.41 and 420.51 is: 630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.23 : 1,670.41 = 420.51 : x
  2. Step 2: Convert to fraction form
    1,114.23/1,670.41 = 420.51/x
  3. Step 3: Cross multiply
    1,114.23x = 1,670.41 × 420.51
  4. Step 4: Simplify right side
    1,114.23x = 702,424.11
  5. Step 5: Solve for x
    x = 702,424.11/1,114.23
  6. Step 6: Final answer
    x = 630.41

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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.