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Finding the Fourth Proportional to 710.60, 980.20 and 474.56

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Solution

The fourth proportional to 710.60, 980.20 and 474.56 is: 654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.60 : 980.20 = 474.56 : x
  2. Step 2: Convert to fraction form
    710.60/980.20 = 474.56/x
  3. Step 3: Cross multiply
    710.60x = 980.20 × 474.56
  4. Step 4: Simplify right side
    710.60x = 465,163.71
  5. Step 5: Solve for x
    x = 465,163.71/710.60
  6. Step 6: Final answer
    x = 654.61

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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.