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Finding the Fourth Proportional to 780.18, 1,163.08 and 741.23

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Solution

The fourth proportional to 780.18, 1,163.08 and 741.23 is: 1,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.18 : 1,163.08 = 741.23 : x
  2. Step 2: Convert to fraction form
    780.18/1,163.08 = 741.23/x
  3. Step 3: Cross multiply
    780.18x = 1,163.08 × 741.23
  4. Step 4: Simplify right side
    780.18x = 862,109.79
  5. Step 5: Solve for x
    x = 862,109.79/780.18
  6. Step 6: Final answer
    x = 1,105.01

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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.