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Finding the Fourth Proportional to 873.72, 1,205.34 and 740.37

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Solution

The fourth proportional to 873.72, 1,205.34 and 740.37 is: 1,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.72 : 1,205.34 = 740.37 : x
  2. Step 2: Convert to fraction form
    873.72/1,205.34 = 740.37/x
  3. Step 3: Cross multiply
    873.72x = 1,205.34 × 740.37
  4. Step 4: Simplify right side
    873.72x = 892,397.58
  5. Step 5: Solve for x
    x = 892,397.58/873.72
  6. Step 6: Final answer
    x = 1,021.38

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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.