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Finding the Fourth Proportional to 895.27, 1,234.15 and 632.83

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Solution

The fourth proportional to 895.27, 1,234.15 and 632.83 is: 872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.27 : 1,234.15 = 632.83 : x
  2. Step 2: Convert to fraction form
    895.27/1,234.15 = 632.83/x
  3. Step 3: Cross multiply
    895.27x = 1,234.15 × 632.83
  4. Step 4: Simplify right side
    895.27x = 781,007.14
  5. Step 5: Solve for x
    x = 781,007.14/895.27
  6. Step 6: Final answer
    x = 872.37

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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.