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Finding the Fourth Proportional to 1,809.17, 2,713.60 and 510.65

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Solution

The fourth proportional to 1,809.17, 2,713.60 and 510.65 is: 765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.17 : 2,713.60 = 510.65 : x
  2. Step 2: Convert to fraction form
    1,809.17/2,713.60 = 510.65/x
  3. Step 3: Cross multiply
    1,809.17x = 2,713.60 × 510.65
  4. Step 4: Simplify right side
    1,809.17x = 1,385,699.84
  5. Step 5: Solve for x
    x = 1,385,699.84/1,809.17
  6. Step 6: Final answer
    x = 765.93

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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.