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Finding the Fourth Proportional to 661.22, 993.42 and 430.22

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Solution

The fourth proportional to 661.22, 993.42 and 430.22 is: 646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.22 : 993.42 = 430.22 : x
  2. Step 2: Convert to fraction form
    661.22/993.42 = 430.22/x
  3. Step 3: Cross multiply
    661.22x = 993.42 × 430.22
  4. Step 4: Simplify right side
    661.22x = 427,389.15
  5. Step 5: Solve for x
    x = 427,389.15/661.22
  6. Step 6: Final answer
    x = 646.36

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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.