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Finding the Fourth Proportional to 1,809.81, 2,714.34 and 510.96

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Solution

The fourth proportional to 1,809.81, 2,714.34 and 510.96 is: 766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.81 : 2,714.34 = 510.96 : x
  2. Step 2: Convert to fraction form
    1,809.81/2,714.34 = 510.96/x
  3. Step 3: Cross multiply
    1,809.81x = 2,714.34 × 510.96
  4. Step 4: Simplify right side
    1,809.81x = 1,386,919.17
  5. Step 5: Solve for x
    x = 1,386,919.17/1,809.81
  6. Step 6: Final answer
    x = 766.33

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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.