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Finding the Fourth Proportional to 720.15, 994.01 and 471.50

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Solution

The fourth proportional to 720.15, 994.01 and 471.50 is: 650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.15 : 994.01 = 471.50 : x
  2. Step 2: Convert to fraction form
    720.15/994.01 = 471.50/x
  3. Step 3: Cross multiply
    720.15x = 994.01 × 471.50
  4. Step 4: Simplify right side
    720.15x = 468,675.72
  5. Step 5: Solve for x
    x = 468,675.72/720.15
  6. Step 6: Final answer
    x = 650.80

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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.