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Finding the Fourth Proportional to 1,208.10, 1,810.80 and 514.65

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Solution

The fourth proportional to 1,208.10, 1,810.80 and 514.65 is: 771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.10 : 1,810.80 = 514.65 : x
  2. Step 2: Convert to fraction form
    1,208.10/1,810.80 = 514.65/x
  3. Step 3: Cross multiply
    1,208.10x = 1,810.80 × 514.65
  4. Step 4: Simplify right side
    1,208.10x = 931,928.22
  5. Step 5: Solve for x
    x = 931,928.22/1,208.10
  6. Step 6: Final answer
    x = 771.40

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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.