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Finding the Fourth Proportional to 575.84, 865.44 and 384.80

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Solution

The fourth proportional to 575.84, 865.44 and 384.80 is: 578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.84 : 865.44 = 384.80 : x
  2. Step 2: Convert to fraction form
    575.84/865.44 = 384.80/x
  3. Step 3: Cross multiply
    575.84x = 865.44 × 384.80
  4. Step 4: Simplify right side
    575.84x = 333,021.31
  5. Step 5: Solve for x
    x = 333,021.31/575.84
  6. Step 6: Final answer
    x = 578.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.