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Finding the Fourth Proportional to 711.64, 982.45 and 475.90

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Solution

The fourth proportional to 711.64, 982.45 and 475.90 is: 657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.64 : 982.45 = 475.90 : x
  2. Step 2: Convert to fraction form
    711.64/982.45 = 475.90/x
  3. Step 3: Cross multiply
    711.64x = 982.45 × 475.90
  4. Step 4: Simplify right side
    711.64x = 467,550.20
  5. Step 5: Solve for x
    x = 467,550.20/711.64
  6. Step 6: Final answer
    x = 657.01

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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.