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Finding the Fourth Proportional to 549.90, 759.03 and 384.05

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Solution

The fourth proportional to 549.90, 759.03 and 384.05 is: 530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.90 : 759.03 = 384.05 : x
  2. Step 2: Convert to fraction form
    549.90/759.03 = 384.05/x
  3. Step 3: Cross multiply
    549.90x = 759.03 × 384.05
  4. Step 4: Simplify right side
    549.90x = 291,505.47
  5. Step 5: Solve for x
    x = 291,505.47/549.90
  6. Step 6: Final answer
    x = 530.11

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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.