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Finding the Fourth Proportional to 474.26, 654.61 and 425.06

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Solution

The fourth proportional to 474.26, 654.61 and 425.06 is: 586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.26 : 654.61 = 425.06 : x
  2. Step 2: Convert to fraction form
    474.26/654.61 = 425.06/x
  3. Step 3: Cross multiply
    474.26x = 654.61 × 425.06
  4. Step 4: Simplify right side
    474.26x = 278,244.19
  5. Step 5: Solve for x
    x = 278,244.19/474.26
  6. Step 6: Final answer
    x = 586.69

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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.