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Finding the Fourth Proportional to 602.83, 899.87 and 533.80

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Solution

The fourth proportional to 602.83, 899.87 and 533.80 is: 796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.83 : 899.87 = 533.80 : x
  2. Step 2: Convert to fraction form
    602.83/899.87 = 533.80/x
  3. Step 3: Cross multiply
    602.83x = 899.87 × 533.80
  4. Step 4: Simplify right side
    602.83x = 480,350.61
  5. Step 5: Solve for x
    x = 480,350.61/602.83
  6. Step 6: Final answer
    x = 796.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.