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Finding the Fourth Proportional to 783.16, 1,175.76 and 413.24

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Solution

The fourth proportional to 783.16, 1,175.76 and 413.24 is: 620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.16 : 1,175.76 = 413.24 : x
  2. Step 2: Convert to fraction form
    783.16/1,175.76 = 413.24/x
  3. Step 3: Cross multiply
    783.16x = 1,175.76 × 413.24
  4. Step 4: Simplify right side
    783.16x = 485,865.18
  5. Step 5: Solve for x
    x = 485,865.18/783.16
  6. Step 6: Final answer
    x = 620.39

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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.