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Finding the Fourth Proportional to 894.14, 1,341 and 431.63

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Solution

The fourth proportional to 894.14, 1,341 and 431.63 is: 647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.14 : 1,341 = 431.63 : x
  2. Step 2: Convert to fraction form
    894.14/1,341 = 431.63/x
  3. Step 3: Cross multiply
    894.14x = 1,341 × 431.63
  4. Step 4: Simplify right side
    894.14x = 578,815.83
  5. Step 5: Solve for x
    x = 578,815.83/894.14
  6. Step 6: Final answer
    x = 647.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.