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Finding the Fourth Proportional to 895.02, 1,233.83 and 628.65

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Solution

The fourth proportional to 895.02, 1,233.83 and 628.65 is: 866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.02 : 1,233.83 = 628.65 : x
  2. Step 2: Convert to fraction form
    895.02/1,233.83 = 628.65/x
  3. Step 3: Cross multiply
    895.02x = 1,233.83 × 628.65
  4. Step 4: Simplify right side
    895.02x = 775,647.23
  5. Step 5: Solve for x
    x = 775,647.23/895.02
  6. Step 6: Final answer
    x = 866.63

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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.