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Finding the Fourth Proportional to 953.13, 1,315.09 and 580.11

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Solution

The fourth proportional to 953.13, 1,315.09 and 580.11 is: 800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.13 : 1,315.09 = 580.11 : x
  2. Step 2: Convert to fraction form
    953.13/1,315.09 = 580.11/x
  3. Step 3: Cross multiply
    953.13x = 1,315.09 × 580.11
  4. Step 4: Simplify right side
    953.13x = 762,891.73
  5. Step 5: Solve for x
    x = 762,891.73/953.13
  6. Step 6: Final answer
    x = 800.41

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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.