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Finding the Fourth Proportional to 720.48, 993.80 and 499.48

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Solution

The fourth proportional to 720.48, 993.80 and 499.48 is: 688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.48 : 993.80 = 499.48 : x
  2. Step 2: Convert to fraction form
    720.48/993.80 = 499.48/x
  3. Step 3: Cross multiply
    720.48x = 993.80 × 499.48
  4. Step 4: Simplify right side
    720.48x = 496,383.22
  5. Step 5: Solve for x
    x = 496,383.22/720.48
  6. Step 6: Final answer
    x = 688.96

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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.