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Finding the Fourth Proportional to 550.62, 759.76 and 384.77

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Solution

The fourth proportional to 550.62, 759.76 and 384.77 is: 530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.62 : 759.76 = 384.77 : x
  2. Step 2: Convert to fraction form
    550.62/759.76 = 384.77/x
  3. Step 3: Cross multiply
    550.62x = 759.76 × 384.77
  4. Step 4: Simplify right side
    550.62x = 292,333.79
  5. Step 5: Solve for x
    x = 292,333.79/550.62
  6. Step 6: Final answer
    x = 530.92

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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.