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Finding the Fourth Proportional to 1,801.21, 2,702.60 and 632.05

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Solution

The fourth proportional to 1,801.21, 2,702.60 and 632.05 is: 948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.21 : 2,702.60 = 632.05 : x
  2. Step 2: Convert to fraction form
    1,801.21/2,702.60 = 632.05/x
  3. Step 3: Cross multiply
    1,801.21x = 2,702.60 × 632.05
  4. Step 4: Simplify right side
    1,801.21x = 1,708,178.33
  5. Step 5: Solve for x
    x = 1,708,178.33/1,801.21
  6. Step 6: Final answer
    x = 948.35

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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.