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Finding the Fourth Proportional to 906.01, 1,359.10 and 437.34

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Solution

The fourth proportional to 906.01, 1,359.10 and 437.34 is: 656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.01 : 1,359.10 = 437.34 : x
  2. Step 2: Convert to fraction form
    906.01/1,359.10 = 437.34/x
  3. Step 3: Cross multiply
    906.01x = 1,359.10 × 437.34
  4. Step 4: Simplify right side
    906.01x = 594,393.33
  5. Step 5: Solve for x
    x = 594,393.33/906.01
  6. Step 6: Final answer
    x = 656.06

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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.