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Finding the Fourth Proportional to 1,698.21, 2,545.20 and 773.52

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Solution

The fourth proportional to 1,698.21, 2,545.20 and 773.52 is: 1,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.21 : 2,545.20 = 773.52 : x
  2. Step 2: Convert to fraction form
    1,698.21/2,545.20 = 773.52/x
  3. Step 3: Cross multiply
    1,698.21x = 2,545.20 × 773.52
  4. Step 4: Simplify right side
    1,698.21x = 1,968,763.10
  5. Step 5: Solve for x
    x = 1,968,763.10/1,698.21
  6. Step 6: Final answer
    x = 1,159.32

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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.