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Finding the Fourth Proportional to 720.38, 993.71 and 471.65

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Solution

The fourth proportional to 720.38, 993.71 and 471.65 is: 650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.38 : 993.71 = 471.65 : x
  2. Step 2: Convert to fraction form
    720.38/993.71 = 471.65/x
  3. Step 3: Cross multiply
    720.38x = 993.71 × 471.65
  4. Step 4: Simplify right side
    720.38x = 468,675.99
  5. Step 5: Solve for x
    x = 468,675.99/720.38
  6. Step 6: Final answer
    x = 650.60

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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.