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Finding the Fourth Proportional to 439.12, 659.40 and 430.48

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Solution

The fourth proportional to 439.12, 659.40 and 430.48 is: 646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.12 : 659.40 = 430.48 : x
  2. Step 2: Convert to fraction form
    439.12/659.40 = 430.48/x
  3. Step 3: Cross multiply
    439.12x = 659.40 × 430.48
  4. Step 4: Simplify right side
    439.12x = 283,858.51
  5. Step 5: Solve for x
    x = 283,858.51/439.12
  6. Step 6: Final answer
    x = 646.43

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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.