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Finding the Fourth Proportional to 780.50, 1,161.88 and 745.10

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Solution

The fourth proportional to 780.50, 1,161.88 and 745.10 is: 1,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.50 : 1,161.88 = 745.10 : x
  2. Step 2: Convert to fraction form
    780.50/1,161.88 = 745.10/x
  3. Step 3: Cross multiply
    780.50x = 1,161.88 × 745.10
  4. Step 4: Simplify right side
    780.50x = 865,716.79
  5. Step 5: Solve for x
    x = 865,716.79/780.50
  6. Step 6: Final answer
    x = 1,109.18

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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.