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Finding the Fourth Proportional to 1,063.78, 1,467.48 and 690.97

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Solution

The fourth proportional to 1,063.78, 1,467.48 and 690.97 is: 953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.78 : 1,467.48 = 690.97 : x
  2. Step 2: Convert to fraction form
    1,063.78/1,467.48 = 690.97/x
  3. Step 3: Cross multiply
    1,063.78x = 1,467.48 × 690.97
  4. Step 4: Simplify right side
    1,063.78x = 1,013,973.86
  5. Step 5: Solve for x
    x = 1,013,973.86/1,063.78
  6. Step 6: Final answer
    x = 953.18

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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.