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Finding the Fourth Proportional to 1,576.71, 2,363.22 and 651.12

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Solution

The fourth proportional to 1,576.71, 2,363.22 and 651.12 is: 975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.71 : 2,363.22 = 651.12 : x
  2. Step 2: Convert to fraction form
    1,576.71/2,363.22 = 651.12/x
  3. Step 3: Cross multiply
    1,576.71x = 2,363.22 × 651.12
  4. Step 4: Simplify right side
    1,576.71x = 1,538,739.81
  5. Step 5: Solve for x
    x = 1,538,739.81/1,576.71
  6. Step 6: Final answer
    x = 975.92

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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.