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Finding the Fourth Proportional to 1,490.56, 2,056.97 and 818.38

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Solution

The fourth proportional to 1,490.56, 2,056.97 and 818.38 is: 1,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.56 : 2,056.97 = 818.38 : x
  2. Step 2: Convert to fraction form
    1,490.56/2,056.97 = 818.38/x
  3. Step 3: Cross multiply
    1,490.56x = 2,056.97 × 818.38
  4. Step 4: Simplify right side
    1,490.56x = 1,683,373.87
  5. Step 5: Solve for x
    x = 1,683,373.87/1,490.56
  6. Step 6: Final answer
    x = 1,129.36

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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.