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Finding the Fourth Proportional to 712.72, 980.06 and 619.30

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Solution

The fourth proportional to 712.72, 980.06 and 619.30 is: 851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.72 : 980.06 = 619.30 : x
  2. Step 2: Convert to fraction form
    712.72/980.06 = 619.30/x
  3. Step 3: Cross multiply
    712.72x = 980.06 × 619.30
  4. Step 4: Simplify right side
    712.72x = 606,950.26
  5. Step 5: Solve for x
    x = 606,950.26/712.72
  6. Step 6: Final answer
    x = 851.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.