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Finding the Fourth Proportional to 805.46, 1,111.37 and 486.43

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Solution

The fourth proportional to 805.46, 1,111.37 and 486.43 is: 671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.46 : 1,111.37 = 486.43 : x
  2. Step 2: Convert to fraction form
    805.46/1,111.37 = 486.43/x
  3. Step 3: Cross multiply
    805.46x = 1,111.37 × 486.43
  4. Step 4: Simplify right side
    805.46x = 540,602.15
  5. Step 5: Solve for x
    x = 540,602.15/805.46
  6. Step 6: Final answer
    x = 671.17

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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.