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Finding the Fourth Proportional to 549.40, 756.88 and 383.31

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Solution

The fourth proportional to 549.40, 756.88 and 383.31 is: 528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.40 : 756.88 = 383.31 : x
  2. Step 2: Convert to fraction form
    549.40/756.88 = 383.31/x
  3. Step 3: Cross multiply
    549.40x = 756.88 × 383.31
  4. Step 4: Simplify right side
    549.40x = 290,119.67
  5. Step 5: Solve for x
    x = 290,119.67/549.40
  6. Step 6: Final answer
    x = 528.07

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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.