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Finding the Fourth Proportional to 759.72, 1,139.76 and 413.40

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Solution

The fourth proportional to 759.72, 1,139.76 and 413.40 is: 620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.72 : 1,139.76 = 413.40 : x
  2. Step 2: Convert to fraction form
    759.72/1,139.76 = 413.40/x
  3. Step 3: Cross multiply
    759.72x = 1,139.76 × 413.40
  4. Step 4: Simplify right side
    759.72x = 471,176.78
  5. Step 5: Solve for x
    x = 471,176.78/759.72
  6. Step 6: Final answer
    x = 620.20

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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.