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Finding the Fourth Proportional to 1,359.04, 1,874.28 and 893.20

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Solution

The fourth proportional to 1,359.04, 1,874.28 and 893.20 is: 1,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.04 : 1,874.28 = 893.20 : x
  2. Step 2: Convert to fraction form
    1,359.04/1,874.28 = 893.20/x
  3. Step 3: Cross multiply
    1,359.04x = 1,874.28 × 893.20
  4. Step 4: Simplify right side
    1,359.04x = 1,674,106.90
  5. Step 5: Solve for x
    x = 1,674,106.90/1,359.04
  6. Step 6: Final answer
    x = 1,231.83

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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.