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Finding the Fourth Proportional to 923.17, 1,385.97 and 533.56

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Solution

The fourth proportional to 923.17, 1,385.97 and 533.56 is: 801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.17 : 1,385.97 = 533.56 : x
  2. Step 2: Convert to fraction form
    923.17/1,385.97 = 533.56/x
  3. Step 3: Cross multiply
    923.17x = 1,385.97 × 533.56
  4. Step 4: Simplify right side
    923.17x = 739,498.15
  5. Step 5: Solve for x
    x = 739,498.15/923.17
  6. Step 6: Final answer
    x = 801.04

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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.