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Finding the Fourth Proportional to 1,490.54, 2,056.88 and 827.37

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Solution

The fourth proportional to 1,490.54, 2,056.88 and 827.37 is: 1,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.54 : 2,056.88 = 827.37 : x
  2. Step 2: Convert to fraction form
    1,490.54/2,056.88 = 827.37/x
  3. Step 3: Cross multiply
    1,490.54x = 2,056.88 × 827.37
  4. Step 4: Simplify right side
    1,490.54x = 1,701,802.87
  5. Step 5: Solve for x
    x = 1,701,802.87/1,490.54
  6. Step 6: Final answer
    x = 1,141.74

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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.