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Finding the Fourth Proportional to 1,698.76, 2,545.91 and 774.15

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Solution

The fourth proportional to 1,698.76, 2,545.91 and 774.15 is: 1,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.76 : 2,545.91 = 774.15 : x
  2. Step 2: Convert to fraction form
    1,698.76/2,545.91 = 774.15/x
  3. Step 3: Cross multiply
    1,698.76x = 2,545.91 × 774.15
  4. Step 4: Simplify right side
    1,698.76x = 1,970,916.23
  5. Step 5: Solve for x
    x = 1,970,916.23/1,698.76
  6. Step 6: Final answer
    x = 1,160.21

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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.