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Finding the Fourth Proportional to 551.13, 759.74 and 384.90

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Solution

The fourth proportional to 551.13, 759.74 and 384.90 is: 530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.13 : 759.74 = 384.90 : x
  2. Step 2: Convert to fraction form
    551.13/759.74 = 384.90/x
  3. Step 3: Cross multiply
    551.13x = 759.74 × 384.90
  4. Step 4: Simplify right side
    551.13x = 292,422.00
  5. Step 5: Solve for x
    x = 292,422.00/551.13
  6. Step 6: Final answer
    x = 530.59

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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.