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Finding the Fourth Proportional to 873.90, 1,205.55 and 744.30

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Solution

The fourth proportional to 873.90, 1,205.55 and 744.30 is: 1,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.90 : 1,205.55 = 744.30 : x
  2. Step 2: Convert to fraction form
    873.90/1,205.55 = 744.30/x
  3. Step 3: Cross multiply
    873.90x = 1,205.55 × 744.30
  4. Step 4: Simplify right side
    873.90x = 897,290.87
  5. Step 5: Solve for x
    x = 897,290.87/873.90
  6. Step 6: Final answer
    x = 1,026.77

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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.