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Finding the Fourth Proportional to 653.73, 979.03 and 549.10

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Solution

The fourth proportional to 653.73, 979.03 and 549.10 is: 822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.73 : 979.03 = 549.10 : x
  2. Step 2: Convert to fraction form
    653.73/979.03 = 549.10/x
  3. Step 3: Cross multiply
    653.73x = 979.03 × 549.10
  4. Step 4: Simplify right side
    653.73x = 537,585.37
  5. Step 5: Solve for x
    x = 537,585.37/653.73
  6. Step 6: Final answer
    x = 822.34

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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.