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Finding the Fourth Proportional to 955.50, 1,430.26 and 609.22

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Solution

The fourth proportional to 955.50, 1,430.26 and 609.22 is: 911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.50 : 1,430.26 = 609.22 : x
  2. Step 2: Convert to fraction form
    955.50/1,430.26 = 609.22/x
  3. Step 3: Cross multiply
    955.50x = 1,430.26 × 609.22
  4. Step 4: Simplify right side
    955.50x = 871,343.26
  5. Step 5: Solve for x
    x = 871,343.26/955.50
  6. Step 6: Final answer
    x = 911.93

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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.