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Finding the Fourth Proportional to 1,076.35, 1,606.68 and 946.75

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Solution

The fourth proportional to 1,076.35, 1,606.68 and 946.75 is: 1,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.35 : 1,606.68 = 946.75 : x
  2. Step 2: Convert to fraction form
    1,076.35/1,606.68 = 946.75/x
  3. Step 3: Cross multiply
    1,076.35x = 1,606.68 × 946.75
  4. Step 4: Simplify right side
    1,076.35x = 1,521,124.29
  5. Step 5: Solve for x
    x = 1,521,124.29/1,076.35
  6. Step 6: Final answer
    x = 1,413.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.