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Finding the Fourth Proportional to 1,776.20, 2,663.69 and 898.36

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Solution

The fourth proportional to 1,776.20, 2,663.69 and 898.36 is: 1,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.20 : 2,663.69 = 898.36 : x
  2. Step 2: Convert to fraction form
    1,776.20/2,663.69 = 898.36/x
  3. Step 3: Cross multiply
    1,776.20x = 2,663.69 × 898.36
  4. Step 4: Simplify right side
    1,776.20x = 2,392,941.40
  5. Step 5: Solve for x
    x = 2,392,941.40/1,776.20
  6. Step 6: Final answer
    x = 1,347.23

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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.