Home / 1,420.40-2,126.76-734.96

Finding the Fourth Proportional to 1,420.40, 2,126.76 and 734.96

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Solution

The fourth proportional to 1,420.40, 2,126.76 and 734.96 is: 1,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.40 : 2,126.76 = 734.96 : x
  2. Step 2: Convert to fraction form
    1,420.40/2,126.76 = 734.96/x
  3. Step 3: Cross multiply
    1,420.40x = 2,126.76 × 734.96
  4. Step 4: Simplify right side
    1,420.40x = 1,563,083.53
  5. Step 5: Solve for x
    x = 1,563,083.53/1,420.40
  6. Step 6: Final answer
    x = 1,100.45

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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.