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Finding the Fourth Proportional to 1,022.62, 1,411.35 and 761.38

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Solution

The fourth proportional to 1,022.62, 1,411.35 and 761.38 is: 1,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.62 : 1,411.35 = 761.38 : x
  2. Step 2: Convert to fraction form
    1,022.62/1,411.35 = 761.38/x
  3. Step 3: Cross multiply
    1,022.62x = 1,411.35 × 761.38
  4. Step 4: Simplify right side
    1,022.62x = 1,074,573.66
  5. Step 5: Solve for x
    x = 1,074,573.66/1,022.62
  6. Step 6: Final answer
    x = 1,050.80

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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.