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Finding the Fourth Proportional to 549.18, 753.84 and 499.77

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Solution

The fourth proportional to 549.18, 753.84 and 499.77 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.18 : 753.84 = 499.77 : x
  2. Step 2: Convert to fraction form
    549.18/753.84 = 499.77/x
  3. Step 3: Cross multiply
    549.18x = 753.84 × 499.77
  4. Step 4: Simplify right side
    549.18x = 376,746.62
  5. Step 5: Solve for x
    x = 376,746.62/549.18
  6. Step 6: Final answer
    x = 686.02

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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.