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Finding the Fourth Proportional to 1,420.04, 2,130.07 and 679.48

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Solution

The fourth proportional to 1,420.04, 2,130.07 and 679.48 is: 1,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.04 : 2,130.07 = 679.48 : x
  2. Step 2: Convert to fraction form
    1,420.04/2,130.07 = 679.48/x
  3. Step 3: Cross multiply
    1,420.04x = 2,130.07 × 679.48
  4. Step 4: Simplify right side
    1,420.04x = 1,447,336.30
  5. Step 5: Solve for x
    x = 1,447,336.30/1,420.04
  6. Step 6: Final answer
    x = 1,019.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.