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Finding the Fourth Proportional to 1,820.66, 2,730.63 and 522.26

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Solution

The fourth proportional to 1,820.66, 2,730.63 and 522.26 is: 783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.66 : 2,730.63 = 522.26 : x
  2. Step 2: Convert to fraction form
    1,820.66/2,730.63 = 522.26/x
  3. Step 3: Cross multiply
    1,820.66x = 2,730.63 × 522.26
  4. Step 4: Simplify right side
    1,820.66x = 1,426,098.82
  5. Step 5: Solve for x
    x = 1,426,098.82/1,820.66
  6. Step 6: Final answer
    x = 783.29

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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.