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Finding the Fourth Proportional to 894.31, 1,347.10 and 839.63

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Solution

The fourth proportional to 894.31, 1,347.10 and 839.63 is: 1,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.31 : 1,347.10 = 839.63 : x
  2. Step 2: Convert to fraction form
    894.31/1,347.10 = 839.63/x
  3. Step 3: Cross multiply
    894.31x = 1,347.10 × 839.63
  4. Step 4: Simplify right side
    894.31x = 1,131,066.84
  5. Step 5: Solve for x
    x = 1,131,066.84/894.31
  6. Step 6: Final answer
    x = 1,264.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.