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Finding the Fourth Proportional to 437.68, 661.49 and 430.12

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Solution

The fourth proportional to 437.68, 661.49 and 430.12 is: 650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.68 : 661.49 = 430.12 : x
  2. Step 2: Convert to fraction form
    437.68/661.49 = 430.12/x
  3. Step 3: Cross multiply
    437.68x = 661.49 × 430.12
  4. Step 4: Simplify right side
    437.68x = 284,520.08
  5. Step 5: Solve for x
    x = 284,520.08/437.68
  6. Step 6: Final answer
    x = 650.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.