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Finding the Fourth Proportional to 720.59, 993.33 and 500.00

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Solution

The fourth proportional to 720.59, 993.33 and 500.00 is: 689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.59 : 993.33 = 500.00 : x
  2. Step 2: Convert to fraction form
    720.59/993.33 = 500.00/x
  3. Step 3: Cross multiply
    720.59x = 993.33 × 500.00
  4. Step 4: Simplify right side
    720.59x = 496,660.03
  5. Step 5: Solve for x
    x = 496,660.03/720.59
  6. Step 6: Final answer
    x = 689.25

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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.