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Finding the Fourth Proportional to 1,872.63, 2,807.30 and 717.57

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Solution

The fourth proportional to 1,872.63, 2,807.30 and 717.57 is: 1,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.63 : 2,807.30 = 717.57 : x
  2. Step 2: Convert to fraction form
    1,872.63/2,807.30 = 717.57/x
  3. Step 3: Cross multiply
    1,872.63x = 2,807.30 × 717.57
  4. Step 4: Simplify right side
    1,872.63x = 2,014,434.26
  5. Step 5: Solve for x
    x = 2,014,434.26/1,872.63
  6. Step 6: Final answer
    x = 1,075.72

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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.