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Finding the Fourth Proportional to 786.13, 1,172.33 and 689.08

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Solution

The fourth proportional to 786.13, 1,172.33 and 689.08 is: 1,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.13 : 1,172.33 = 689.08 : x
  2. Step 2: Convert to fraction form
    786.13/1,172.33 = 689.08/x
  3. Step 3: Cross multiply
    786.13x = 1,172.33 × 689.08
  4. Step 4: Simplify right side
    786.13x = 807,819.85
  5. Step 5: Solve for x
    x = 807,819.85/786.13
  6. Step 6: Final answer
    x = 1,027.60

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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.