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Finding the Fourth Proportional to 1,801.20, 2,701.08 and 646.32

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Solution

The fourth proportional to 1,801.20, 2,701.08 and 646.32 is: 969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.20 : 2,701.08 = 646.32 : x
  2. Step 2: Convert to fraction form
    1,801.20/2,701.08 = 646.32/x
  3. Step 3: Cross multiply
    1,801.20x = 2,701.08 × 646.32
  4. Step 4: Simplify right side
    1,801.20x = 1,745,762.03
  5. Step 5: Solve for x
    x = 1,745,762.03/1,801.20
  6. Step 6: Final answer
    x = 969.22

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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.