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Finding the Fourth Proportional to 961.02, 1,438.96 and 549.60

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Solution

The fourth proportional to 961.02, 1,438.96 and 549.60 is: 822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.02 : 1,438.96 = 549.60 : x
  2. Step 2: Convert to fraction form
    961.02/1,438.96 = 549.60/x
  3. Step 3: Cross multiply
    961.02x = 1,438.96 × 549.60
  4. Step 4: Simplify right side
    961.02x = 790,852.42
  5. Step 5: Solve for x
    x = 790,852.42/961.02
  6. Step 6: Final answer
    x = 822.93

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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.