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Finding the Fourth Proportional to 720.69, 993.64 and 471.62

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Solution

The fourth proportional to 720.69, 993.64 and 471.62 is: 650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.69 : 993.64 = 471.62 : x
  2. Step 2: Convert to fraction form
    720.69/993.64 = 471.62/x
  3. Step 3: Cross multiply
    720.69x = 993.64 × 471.62
  4. Step 4: Simplify right side
    720.69x = 468,615.53
  5. Step 5: Solve for x
    x = 468,615.53/720.69
  6. Step 6: Final answer
    x = 650.23

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Half scale
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Double scale
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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.