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Finding the Fourth Proportional to 953.62, 1,315.68 and 580.48

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Solution

The fourth proportional to 953.62, 1,315.68 and 580.48 is: 800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.62 : 1,315.68 = 580.48 : x
  2. Step 2: Convert to fraction form
    953.62/1,315.68 = 580.48/x
  3. Step 3: Cross multiply
    953.62x = 1,315.68 × 580.48
  4. Step 4: Simplify right side
    953.62x = 763,725.93
  5. Step 5: Solve for x
    x = 763,725.93/953.62
  6. Step 6: Final answer
    x = 800.87

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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.