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Finding the Fourth Proportional to 948.74, 1,423.10 and 299.47

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Solution

The fourth proportional to 948.74, 1,423.10 and 299.47 is: 449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.74 : 1,423.10 = 299.47 : x
  2. Step 2: Convert to fraction form
    948.74/1,423.10 = 299.47/x
  3. Step 3: Cross multiply
    948.74x = 1,423.10 × 299.47
  4. Step 4: Simplify right side
    948.74x = 426,175.76
  5. Step 5: Solve for x
    x = 426,175.76/948.74
  6. Step 6: Final answer
    x = 449.20

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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.