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Finding the Fourth Proportional to 897.95, 1,341.81 and 674.12

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Solution

The fourth proportional to 897.95, 1,341.81 and 674.12 is: 1,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.95 : 1,341.81 = 674.12 : x
  2. Step 2: Convert to fraction form
    897.95/1,341.81 = 674.12/x
  3. Step 3: Cross multiply
    897.95x = 1,341.81 × 674.12
  4. Step 4: Simplify right side
    897.95x = 904,540.96
  5. Step 5: Solve for x
    x = 904,540.96/897.95
  6. Step 6: Final answer
    x = 1,007.34

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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.