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Finding the Fourth Proportional to 895.13, 1,234.19 and 674.45

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Solution

The fourth proportional to 895.13, 1,234.19 and 674.45 is: 929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.13 : 1,234.19 = 674.45 : x
  2. Step 2: Convert to fraction form
    895.13/1,234.19 = 674.45/x
  3. Step 3: Cross multiply
    895.13x = 1,234.19 × 674.45
  4. Step 4: Simplify right side
    895.13x = 832,396.07
  5. Step 5: Solve for x
    x = 832,396.07/895.13
  6. Step 6: Final answer
    x = 929.92

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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.