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Finding the Fourth Proportional to 1,335.77, 2,003.66 and 876.46

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Solution

The fourth proportional to 1,335.77, 2,003.66 and 876.46 is: 1,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.77 : 2,003.66 = 876.46 : x
  2. Step 2: Convert to fraction form
    1,335.77/2,003.66 = 876.46/x
  3. Step 3: Cross multiply
    1,335.77x = 2,003.66 × 876.46
  4. Step 4: Simplify right side
    1,335.77x = 1,756,113.44
  5. Step 5: Solve for x
    x = 1,756,113.44/1,335.77
  6. Step 6: Final answer
    x = 1,314.68

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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.