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Finding the Fourth Proportional to 1,046.41, 1,575.74 and 774.42

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Solution

The fourth proportional to 1,046.41, 1,575.74 and 774.42 is: 1,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.41 : 1,575.74 = 774.42 : x
  2. Step 2: Convert to fraction form
    1,046.41/1,575.74 = 774.42/x
  3. Step 3: Cross multiply
    1,046.41x = 1,575.74 × 774.42
  4. Step 4: Simplify right side
    1,046.41x = 1,220,284.57
  5. Step 5: Solve for x
    x = 1,220,284.57/1,046.41
  6. Step 6: Final answer
    x = 1,166.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.