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Finding the Fourth Proportional to 601.72, 829.86 and 425.28

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Solution

The fourth proportional to 601.72, 829.86 and 425.28 is: 586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.72 : 829.86 = 425.28 : x
  2. Step 2: Convert to fraction form
    601.72/829.86 = 425.28/x
  3. Step 3: Cross multiply
    601.72x = 829.86 × 425.28
  4. Step 4: Simplify right side
    601.72x = 352,922.86
  5. Step 5: Solve for x
    x = 352,922.86/601.72
  6. Step 6: Final answer
    x = 586.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.