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Finding the Fourth Proportional to 550.32, 759.33 and 384.48

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Solution

The fourth proportional to 550.32, 759.33 and 384.48 is: 530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.32 : 759.33 = 384.48 : x
  2. Step 2: Convert to fraction form
    550.32/759.33 = 384.48/x
  3. Step 3: Cross multiply
    550.32x = 759.33 × 384.48
  4. Step 4: Simplify right side
    550.32x = 291,945.28
  5. Step 5: Solve for x
    x = 291,945.28/550.32
  6. Step 6: Final answer
    x = 530.50

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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.