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Finding the Fourth Proportional to 910.38, 1,358.30 and 828.30

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Solution

The fourth proportional to 910.38, 1,358.30 and 828.30 is: 1,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.38 : 1,358.30 = 828.30 : x
  2. Step 2: Convert to fraction form
    910.38/1,358.30 = 828.30/x
  3. Step 3: Cross multiply
    910.38x = 1,358.30 × 828.30
  4. Step 4: Simplify right side
    910.38x = 1,125,075.75
  5. Step 5: Solve for x
    x = 1,125,075.75/910.38
  6. Step 6: Final answer
    x = 1,235.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.