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Finding the Fourth Proportional to 720.41, 994.12 and 471.80

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Solution

The fourth proportional to 720.41, 994.12 and 471.80 is: 651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.41 : 994.12 = 471.80 : x
  2. Step 2: Convert to fraction form
    720.41/994.12 = 471.80/x
  3. Step 3: Cross multiply
    720.41x = 994.12 × 471.80
  4. Step 4: Simplify right side
    720.41x = 469,027.12
  5. Step 5: Solve for x
    x = 469,027.12/720.41
  6. Step 6: Final answer
    x = 651.06

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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.