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Finding the Fourth Proportional to 601.26, 828.72 and 424.28

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Solution

The fourth proportional to 601.26, 828.72 and 424.28 is: 584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.26 : 828.72 = 424.28 : x
  2. Step 2: Convert to fraction form
    601.26/828.72 = 424.28/x
  3. Step 3: Cross multiply
    601.26x = 828.72 × 424.28
  4. Step 4: Simplify right side
    601.26x = 351,609.32
  5. Step 5: Solve for x
    x = 351,609.32/601.26
  6. Step 6: Final answer
    x = 584.79

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1.5x scale

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.