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Finding the Fourth Proportional to 953.91, 1,315.46 and 674.35

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Solution

The fourth proportional to 953.91, 1,315.46 and 674.35 is: 929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.91 : 1,315.46 = 674.35 : x
  2. Step 2: Convert to fraction form
    953.91/1,315.46 = 674.35/x
  3. Step 3: Cross multiply
    953.91x = 1,315.46 × 674.35
  4. Step 4: Simplify right side
    953.91x = 887,078.85
  5. Step 5: Solve for x
    x = 887,078.85/953.91
  6. Step 6: Final answer
    x = 929.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.