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Finding the Fourth Proportional to 934.67, 1,400.78 and 413.93

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Solution

The fourth proportional to 934.67, 1,400.78 and 413.93 is: 620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.67 : 1,400.78 = 413.93 : x
  2. Step 2: Convert to fraction form
    934.67/1,400.78 = 413.93/x
  3. Step 3: Cross multiply
    934.67x = 1,400.78 × 413.93
  4. Step 4: Simplify right side
    934.67x = 579,818.90
  5. Step 5: Solve for x
    x = 579,818.90/934.67
  6. Step 6: Final answer
    x = 620.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.