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Finding the Fourth Proportional to 549.84, 757.11 and 537.69

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Solution

The fourth proportional to 549.84, 757.11 and 537.69 is: 740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 757.11 = 537.69 : x
  2. Step 2: Convert to fraction form
    549.84/757.11 = 537.69/x
  3. Step 3: Cross multiply
    549.84x = 757.11 × 537.69
  4. Step 4: Simplify right side
    549.84x = 407,090.48
  5. Step 5: Solve for x
    x = 407,090.48/549.84
  6. Step 6: Final answer
    x = 740.38

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1.5x scale

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.