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Finding the Fourth Proportional to 711.60, 982.18 and 475.56

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Solution

The fourth proportional to 711.60, 982.18 and 475.56 is: 656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.60 : 982.18 = 475.56 : x
  2. Step 2: Convert to fraction form
    711.60/982.18 = 475.56/x
  3. Step 3: Cross multiply
    711.60x = 982.18 × 475.56
  4. Step 4: Simplify right side
    711.60x = 467,085.52
  5. Step 5: Solve for x
    x = 467,085.52/711.60
  6. Step 6: Final answer
    x = 656.39

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1.5x scale

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.