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Finding the Fourth Proportional to 967.34, 1,451.13 and 308.99

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Solution

The fourth proportional to 967.34, 1,451.13 and 308.99 is: 463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.34 : 1,451.13 = 308.99 : x
  2. Step 2: Convert to fraction form
    967.34/1,451.13 = 308.99/x
  3. Step 3: Cross multiply
    967.34x = 1,451.13 × 308.99
  4. Step 4: Simplify right side
    967.34x = 448,384.66
  5. Step 5: Solve for x
    x = 448,384.66/967.34
  6. Step 6: Final answer
    x = 463.52

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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.