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Finding the Fourth Proportional to 1,576.71, 2,348.89 and 1,505.64

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Solution

The fourth proportional to 1,576.71, 2,348.89 and 1,505.64 is: 2,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.71 : 2,348.89 = 1,505.64 : x
  2. Step 2: Convert to fraction form
    1,576.71/2,348.89 = 1,505.64/x
  3. Step 3: Cross multiply
    1,576.71x = 2,348.89 × 1,505.64
  4. Step 4: Simplify right side
    1,576.71x = 3,536,582.74
  5. Step 5: Solve for x
    x = 3,536,582.74/1,576.71
  6. Step 6: Final answer
    x = 2,243.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.