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Finding the Fourth Proportional to 1,335.83, 1,991.80 and 1,334.01

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Solution

The fourth proportional to 1,335.83, 1,991.80 and 1,334.01 is: 1,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.83 : 1,991.80 = 1,334.01 : x
  2. Step 2: Convert to fraction form
    1,335.83/1,991.80 = 1,334.01/x
  3. Step 3: Cross multiply
    1,335.83x = 1,991.80 × 1,334.01
  4. Step 4: Simplify right side
    1,335.83x = 2,657,077.78
  5. Step 5: Solve for x
    x = 2,657,077.78/1,335.83
  6. Step 6: Final answer
    x = 1,989.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.