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Finding the Fourth Proportional to 961.79, 1,442.60 and 549.63

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Solution

The fourth proportional to 961.79, 1,442.60 and 549.63 is: 824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.79 : 1,442.60 = 549.63 : x
  2. Step 2: Convert to fraction form
    961.79/1,442.60 = 549.63/x
  3. Step 3: Cross multiply
    961.79x = 1,442.60 × 549.63
  4. Step 4: Simplify right side
    961.79x = 792,896.24
  5. Step 5: Solve for x
    x = 792,896.24/961.79
  6. Step 6: Final answer
    x = 824.40

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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.