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Finding the Fourth Proportional to 1,765.65, 2,647.62 and 532.83

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Solution

The fourth proportional to 1,765.65, 2,647.62 and 532.83 is: 798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.65 : 2,647.62 = 532.83 : x
  2. Step 2: Convert to fraction form
    1,765.65/2,647.62 = 532.83/x
  3. Step 3: Cross multiply
    1,765.65x = 2,647.62 × 532.83
  4. Step 4: Simplify right side
    1,765.65x = 1,410,731.36
  5. Step 5: Solve for x
    x = 1,410,731.36/1,765.65
  6. Step 6: Final answer
    x = 798.99

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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.