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Finding the Fourth Proportional to 720.12, 993.42 and 471.33

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Solution

The fourth proportional to 720.12, 993.42 and 471.33 is: 650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.12 : 993.42 = 471.33 : x
  2. Step 2: Convert to fraction form
    720.12/993.42 = 471.33/x
  3. Step 3: Cross multiply
    720.12x = 993.42 × 471.33
  4. Step 4: Simplify right side
    720.12x = 468,228.65
  5. Step 5: Solve for x
    x = 468,228.65/720.12
  6. Step 6: Final answer
    x = 650.21

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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.