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Finding the Fourth Proportional to 1,033.72, 1,423.42 and 893.58

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Solution

The fourth proportional to 1,033.72, 1,423.42 and 893.58 is: 1,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.72 : 1,423.42 = 893.58 : x
  2. Step 2: Convert to fraction form
    1,033.72/1,423.42 = 893.58/x
  3. Step 3: Cross multiply
    1,033.72x = 1,423.42 × 893.58
  4. Step 4: Simplify right side
    1,033.72x = 1,271,939.64
  5. Step 5: Solve for x
    x = 1,271,939.64/1,033.72
  6. Step 6: Final answer
    x = 1,230.45

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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.