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Finding the Fourth Proportional to 384.69, 569.19 and 383.61

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Solution

The fourth proportional to 384.69, 569.19 and 383.61 is: 567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.69 : 569.19 = 383.61 : x
  2. Step 2: Convert to fraction form
    384.69/569.19 = 383.61/x
  3. Step 3: Cross multiply
    384.69x = 569.19 × 383.61
  4. Step 4: Simplify right side
    384.69x = 218,346.98
  5. Step 5: Solve for x
    x = 218,346.98/384.69
  6. Step 6: Final answer
    x = 567.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.