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Finding the Fourth Proportional to 561.58, 775.25 and 337.60

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Solution

The fourth proportional to 561.58, 775.25 and 337.60 is: 466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.58 : 775.25 = 337.60 : x
  2. Step 2: Convert to fraction form
    561.58/775.25 = 337.60/x
  3. Step 3: Cross multiply
    561.58x = 775.25 × 337.60
  4. Step 4: Simplify right side
    561.58x = 261,724.40
  5. Step 5: Solve for x
    x = 261,724.40/561.58
  6. Step 6: Final answer
    x = 466.05

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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.