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Finding the Fourth Proportional to 1,752.74, 2,629.06 and 520.12

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Solution

The fourth proportional to 1,752.74, 2,629.06 and 520.12 is: 780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.74 : 2,629.06 = 520.12 : x
  2. Step 2: Convert to fraction form
    1,752.74/2,629.06 = 520.12/x
  3. Step 3: Cross multiply
    1,752.74x = 2,629.06 × 520.12
  4. Step 4: Simplify right side
    1,752.74x = 1,367,428.67
  5. Step 5: Solve for x
    x = 1,367,428.67/1,752.74
  6. Step 6: Final answer
    x = 780.17

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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.