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Finding the Fourth Proportional to 922.60, 1,383.90 and 533.80

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Solution

The fourth proportional to 922.60, 1,383.90 and 533.80 is: 800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.60 : 1,383.90 = 533.80 : x
  2. Step 2: Convert to fraction form
    922.60/1,383.90 = 533.80/x
  3. Step 3: Cross multiply
    922.60x = 1,383.90 × 533.80
  4. Step 4: Simplify right side
    922.60x = 738,725.82
  5. Step 5: Solve for x
    x = 738,725.82/922.60
  6. Step 6: Final answer
    x = 800.70

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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.