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Finding the Fourth Proportional to 688.26, 1,030.82 and 413.75

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Solution

The fourth proportional to 688.26, 1,030.82 and 413.75 is: 619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.26 : 1,030.82 = 413.75 : x
  2. Step 2: Convert to fraction form
    688.26/1,030.82 = 413.75/x
  3. Step 3: Cross multiply
    688.26x = 1,030.82 × 413.75
  4. Step 4: Simplify right side
    688.26x = 426,494.55
  5. Step 5: Solve for x
    x = 426,494.55/688.26
  6. Step 6: Final answer
    x = 619.67

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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.