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Finding the Fourth Proportional to 709.88, 1,064.68 and 413.21

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Solution

The fourth proportional to 709.88, 1,064.68 and 413.21 is: 619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.88 : 1,064.68 = 413.21 : x
  2. Step 2: Convert to fraction form
    709.88/1,064.68 = 413.21/x
  3. Step 3: Cross multiply
    709.88x = 1,064.68 × 413.21
  4. Step 4: Simplify right side
    709.88x = 439,938.05
  5. Step 5: Solve for x
    x = 439,938.05/709.88
  6. Step 6: Final answer
    x = 619.74

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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.