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Finding the Fourth Proportional to 561.84, 775.80 and 386.88

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Solution

The fourth proportional to 561.84, 775.80 and 386.88 is: 534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.84 : 775.80 = 386.88 : x
  2. Step 2: Convert to fraction form
    561.84/775.80 = 386.88/x
  3. Step 3: Cross multiply
    561.84x = 775.80 × 386.88
  4. Step 4: Simplify right side
    561.84x = 300,141.50
  5. Step 5: Solve for x
    x = 300,141.50/561.84
  6. Step 6: Final answer
    x = 534.21

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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.