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Finding the Fourth Proportional to 749.03, 1,116.02 and 707.11

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Solution

The fourth proportional to 749.03, 1,116.02 and 707.11 is: 1,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.03 : 1,116.02 = 707.11 : x
  2. Step 2: Convert to fraction form
    749.03/1,116.02 = 707.11/x
  3. Step 3: Cross multiply
    749.03x = 1,116.02 × 707.11
  4. Step 4: Simplify right side
    749.03x = 789,142.58
  5. Step 5: Solve for x
    x = 789,142.58/749.03
  6. Step 6: Final answer
    x = 1,053.56

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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.