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Finding the Fourth Proportional to 425.96, 582.50 and 425.96

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Solution

The fourth proportional to 425.96, 582.50 and 425.96 is: 582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.96 : 582.50 = 425.96 : x
  2. Step 2: Convert to fraction form
    425.96/582.50 = 425.96/x
  3. Step 3: Cross multiply
    425.96x = 582.50 × 425.96
  4. Step 4: Simplify right side
    425.96x = 248,116.66
  5. Step 5: Solve for x
    x = 248,116.66/425.96
  6. Step 6: Final answer
    x = 582.50

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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.