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Finding the Fourth Proportional to 1,308.34, 1,962.51 and 730.54

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Solution

The fourth proportional to 1,308.34, 1,962.51 and 730.54 is: 1,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.34 : 1,962.51 = 730.54 : x
  2. Step 2: Convert to fraction form
    1,308.34/1,962.51 = 730.54/x
  3. Step 3: Cross multiply
    1,308.34x = 1,962.51 × 730.54
  4. Step 4: Simplify right side
    1,308.34x = 1,433,692.06
  5. Step 5: Solve for x
    x = 1,433,692.06/1,308.34
  6. Step 6: Final answer
    x = 1,095.81

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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.