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Finding the Fourth Proportional to 549.96, 824.22 and 318.93

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Solution

The fourth proportional to 549.96, 824.22 and 318.93 is: 477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.96 : 824.22 = 318.93 : x
  2. Step 2: Convert to fraction form
    549.96/824.22 = 318.93/x
  3. Step 3: Cross multiply
    549.96x = 824.22 × 318.93
  4. Step 4: Simplify right side
    549.96x = 262,868.48
  5. Step 5: Solve for x
    x = 262,868.48/549.96
  6. Step 6: Final answer
    x = 477.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.