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Finding the Fourth Proportional to 561.78, 775.09 and 384.59

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Solution

The fourth proportional to 561.78, 775.09 and 384.59 is: 530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.78 : 775.09 = 384.59 : x
  2. Step 2: Convert to fraction form
    561.78/775.09 = 384.59/x
  3. Step 3: Cross multiply
    561.78x = 775.09 × 384.59
  4. Step 4: Simplify right side
    561.78x = 298,089.94
  5. Step 5: Solve for x
    x = 298,089.94/561.78
  6. Step 6: Final answer
    x = 530.62

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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.