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Finding the Fourth Proportional to 633.61, 942.10 and 609.01

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Solution

The fourth proportional to 633.61, 942.10 and 609.01 is: 905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.61 : 942.10 = 609.01 : x
  2. Step 2: Convert to fraction form
    633.61/942.10 = 609.01/x
  3. Step 3: Cross multiply
    633.61x = 942.10 × 609.01
  4. Step 4: Simplify right side
    633.61x = 573,748.32
  5. Step 5: Solve for x
    x = 573,748.32/633.61
  6. Step 6: Final answer
    x = 905.52

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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.