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Finding the Fourth Proportional to 1,567.78, 2,351.76 and 413.50

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Solution

The fourth proportional to 1,567.78, 2,351.76 and 413.50 is: 620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.78 : 2,351.76 = 413.50 : x
  2. Step 2: Convert to fraction form
    1,567.78/2,351.76 = 413.50/x
  3. Step 3: Cross multiply
    1,567.78x = 2,351.76 × 413.50
  4. Step 4: Simplify right side
    1,567.78x = 972,452.76
  5. Step 5: Solve for x
    x = 972,452.76/1,567.78
  6. Step 6: Final answer
    x = 620.27

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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.