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Finding the Fourth Proportional to 906.34, 1,250.61 and 533.23

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Solution

The fourth proportional to 906.34, 1,250.61 and 533.23 is: 735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.34 : 1,250.61 = 533.23 : x
  2. Step 2: Convert to fraction form
    906.34/1,250.61 = 533.23/x
  3. Step 3: Cross multiply
    906.34x = 1,250.61 × 533.23
  4. Step 4: Simplify right side
    906.34x = 666,862.77
  5. Step 5: Solve for x
    x = 666,862.77/906.34
  6. Step 6: Final answer
    x = 735.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.