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Finding the Fourth Proportional to 1,308.46, 1,805.16 and 748.63

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Solution

The fourth proportional to 1,308.46, 1,805.16 and 748.63 is: 1,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.46 : 1,805.16 = 748.63 : x
  2. Step 2: Convert to fraction form
    1,308.46/1,805.16 = 748.63/x
  3. Step 3: Cross multiply
    1,308.46x = 1,805.16 × 748.63
  4. Step 4: Simplify right side
    1,308.46x = 1,351,397.35
  5. Step 5: Solve for x
    x = 1,351,397.35/1,308.46
  6. Step 6: Final answer
    x = 1,032.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.