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Finding the Fourth Proportional to 953.73, 1,315.77 and 580.57

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Solution

The fourth proportional to 953.73, 1,315.77 and 580.57 is: 800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.73 : 1,315.77 = 580.57 : x
  2. Step 2: Convert to fraction form
    953.73/1,315.77 = 580.57/x
  3. Step 3: Cross multiply
    953.73x = 1,315.77 × 580.57
  4. Step 4: Simplify right side
    953.73x = 763,896.59
  5. Step 5: Solve for x
    x = 763,896.59/953.73
  6. Step 6: Final answer
    x = 800.96

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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.