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Finding the Fourth Proportional to 805.18, 1,111.76 and 712.03

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Solution

The fourth proportional to 805.18, 1,111.76 and 712.03 is: 983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.18 : 1,111.76 = 712.03 : x
  2. Step 2: Convert to fraction form
    805.18/1,111.76 = 712.03/x
  3. Step 3: Cross multiply
    805.18x = 1,111.76 × 712.03
  4. Step 4: Simplify right side
    805.18x = 791,606.47
  5. Step 5: Solve for x
    x = 791,606.47/805.18
  6. Step 6: Final answer
    x = 983.14

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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.