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Finding the Fourth Proportional to 549.16, 756.96 and 524.86

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Solution

The fourth proportional to 549.16, 756.96 and 524.86 is: 723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.16 : 756.96 = 524.86 : x
  2. Step 2: Convert to fraction form
    549.16/756.96 = 524.86/x
  3. Step 3: Cross multiply
    549.16x = 756.96 × 524.86
  4. Step 4: Simplify right side
    549.16x = 397,298.03
  5. Step 5: Solve for x
    x = 397,298.03/549.16
  6. Step 6: Final answer
    x = 723.46

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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.