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Finding the Fourth Proportional to 720.72, 993.60 and 543.60

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Solution

The fourth proportional to 720.72, 993.60 and 543.60 is: 749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.72 : 993.60 = 543.60 : x
  2. Step 2: Convert to fraction form
    720.72/993.60 = 543.60/x
  3. Step 3: Cross multiply
    720.72x = 993.60 × 543.60
  4. Step 4: Simplify right side
    720.72x = 540,120.96
  5. Step 5: Solve for x
    x = 540,120.96/720.72
  6. Step 6: Final answer
    x = 749.42

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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.