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Finding the Fourth Proportional to 1,644.77, 2,269.73 and 898.76

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Solution

The fourth proportional to 1,644.77, 2,269.73 and 898.76 is: 1,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.77 : 2,269.73 = 898.76 : x
  2. Step 2: Convert to fraction form
    1,644.77/2,269.73 = 898.76/x
  3. Step 3: Cross multiply
    1,644.77x = 2,269.73 × 898.76
  4. Step 4: Simplify right side
    1,644.77x = 2,039,933.43
  5. Step 5: Solve for x
    x = 2,039,933.43/1,644.77
  6. Step 6: Final answer
    x = 1,240.26

Related Problems

Find fourth proportional to 822.38, 1,134.87 and 449.38
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.