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Finding the Fourth Proportional to 1,210.13, 1,811.79 and 770.30

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Solution

The fourth proportional to 1,210.13, 1,811.79 and 770.30 is: 1,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.13 : 1,811.79 = 770.30 : x
  2. Step 2: Convert to fraction form
    1,210.13/1,811.79 = 770.30/x
  3. Step 3: Cross multiply
    1,210.13x = 1,811.79 × 770.30
  4. Step 4: Simplify right side
    1,210.13x = 1,395,626.37
  5. Step 5: Solve for x
    x = 1,395,626.37/1,210.13
  6. Step 6: Final answer
    x = 1,153.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.