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Finding the Fourth Proportional to 561.49, 775.60 and 468.54

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Solution

The fourth proportional to 561.49, 775.60 and 468.54 is: 647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.49 : 775.60 = 468.54 : x
  2. Step 2: Convert to fraction form
    561.49/775.60 = 468.54/x
  3. Step 3: Cross multiply
    561.49x = 775.60 × 468.54
  4. Step 4: Simplify right side
    561.49x = 363,399.62
  5. Step 5: Solve for x
    x = 363,399.62/561.49
  6. Step 6: Final answer
    x = 647.21

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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.