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Finding the Fourth Proportional to 561.84, 775.08 and 375.28

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Solution

The fourth proportional to 561.84, 775.08 and 375.28 is: 517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.84 : 775.08 = 375.28 : x
  2. Step 2: Convert to fraction form
    561.84/775.08 = 375.28/x
  3. Step 3: Cross multiply
    561.84x = 775.08 × 375.28
  4. Step 4: Simplify right side
    561.84x = 290,872.02
  5. Step 5: Solve for x
    x = 290,872.02/561.84
  6. Step 6: Final answer
    x = 517.71

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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.