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Finding the Fourth Proportional to 474.85, 652.61 and 426.25

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Solution

The fourth proportional to 474.85, 652.61 and 426.25 is: 585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.85 : 652.61 = 426.25 : x
  2. Step 2: Convert to fraction form
    474.85/652.61 = 426.25/x
  3. Step 3: Cross multiply
    474.85x = 652.61 × 426.25
  4. Step 4: Simplify right side
    474.85x = 278,175.01
  5. Step 5: Solve for x
    x = 278,175.01/474.85
  6. Step 6: Final answer
    x = 585.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.