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Finding the Fourth Proportional to 1,420.48, 1,958.38 and 977.60

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Solution

The fourth proportional to 1,420.48, 1,958.38 and 977.60 is: 1,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.48 : 1,958.38 = 977.60 : x
  2. Step 2: Convert to fraction form
    1,420.48/1,958.38 = 977.60/x
  3. Step 3: Cross multiply
    1,420.48x = 1,958.38 × 977.60
  4. Step 4: Simplify right side
    1,420.48x = 1,914,512.29
  5. Step 5: Solve for x
    x = 1,914,512.29/1,420.48
  6. Step 6: Final answer
    x = 1,347.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.