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Finding the Fourth Proportional to 946.35, 1,413.14 and 773.36

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Solution

The fourth proportional to 946.35, 1,413.14 and 773.36 is: 1,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.35 : 1,413.14 = 773.36 : x
  2. Step 2: Convert to fraction form
    946.35/1,413.14 = 773.36/x
  3. Step 3: Cross multiply
    946.35x = 1,413.14 × 773.36
  4. Step 4: Simplify right side
    946.35x = 1,092,871.42
  5. Step 5: Solve for x
    x = 1,092,871.42/946.35
  6. Step 6: Final answer
    x = 1,154.83

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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.