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Finding the Fourth Proportional to 662.83, 992.40 and 500.02

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Solution

The fourth proportional to 662.83, 992.40 and 500.02 is: 748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.83 : 992.40 = 500.02 : x
  2. Step 2: Convert to fraction form
    662.83/992.40 = 500.02/x
  3. Step 3: Cross multiply
    662.83x = 992.40 × 500.02
  4. Step 4: Simplify right side
    662.83x = 496,219.85
  5. Step 5: Solve for x
    x = 496,219.85/662.83
  6. Step 6: Final answer
    x = 748.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.