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Finding the Fourth Proportional to 720.32, 993.78 and 471.78

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Solution

The fourth proportional to 720.32, 993.78 and 471.78 is: 650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.32 : 993.78 = 471.78 : x
  2. Step 2: Convert to fraction form
    720.32/993.78 = 471.78/x
  3. Step 3: Cross multiply
    720.32x = 993.78 × 471.78
  4. Step 4: Simplify right side
    720.32x = 468,845.53
  5. Step 5: Solve for x
    x = 468,845.53/720.32
  6. Step 6: Final answer
    x = 650.89

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.