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Finding the Fourth Proportional to 948.65, 1,423.17 and 299.43

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Solution

The fourth proportional to 948.65, 1,423.17 and 299.43 is: 449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.65 : 1,423.17 = 299.43 : x
  2. Step 2: Convert to fraction form
    948.65/1,423.17 = 299.43/x
  3. Step 3: Cross multiply
    948.65x = 1,423.17 × 299.43
  4. Step 4: Simplify right side
    948.65x = 426,139.79
  5. Step 5: Solve for x
    x = 426,139.79/948.65
  6. Step 6: Final answer
    x = 449.21

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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.