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Finding the Fourth Proportional to 949.17, 1,423.11 and 486.65

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Solution

The fourth proportional to 949.17, 1,423.11 and 486.65 is: 729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.17 : 1,423.11 = 486.65 : x
  2. Step 2: Convert to fraction form
    949.17/1,423.11 = 486.65/x
  3. Step 3: Cross multiply
    949.17x = 1,423.11 × 486.65
  4. Step 4: Simplify right side
    949.17x = 692,549.37
  5. Step 5: Solve for x
    x = 692,549.37/949.17
  6. Step 6: Final answer
    x = 729.64

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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.