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Finding the Fourth Proportional to 549.02, 753.32 and 543.86

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Solution

The fourth proportional to 549.02, 753.32 and 543.86 is: 746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.02 : 753.32 = 543.86 : x
  2. Step 2: Convert to fraction form
    549.02/753.32 = 543.86/x
  3. Step 3: Cross multiply
    549.02x = 753.32 × 543.86
  4. Step 4: Simplify right side
    549.02x = 409,694.13
  5. Step 5: Solve for x
    x = 409,694.13/549.02
  6. Step 6: Final answer
    x = 746.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.