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Finding the Fourth Proportional to 669.83, 1,000.65 and 533.02

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Solution

The fourth proportional to 669.83, 1,000.65 and 533.02 is: 796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.83 : 1,000.65 = 533.02 : x
  2. Step 2: Convert to fraction form
    669.83/1,000.65 = 533.02/x
  3. Step 3: Cross multiply
    669.83x = 1,000.65 × 533.02
  4. Step 4: Simplify right side
    669.83x = 533,371.92
  5. Step 5: Solve for x
    x = 533,371.92/669.83
  6. Step 6: Final answer
    x = 796.28

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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.