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Finding the Fourth Proportional to 635.42, 957.86 and 580.74

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Solution

The fourth proportional to 635.42, 957.86 and 580.74 is: 875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.42 : 957.86 = 580.74 : x
  2. Step 2: Convert to fraction form
    635.42/957.86 = 580.74/x
  3. Step 3: Cross multiply
    635.42x = 957.86 × 580.74
  4. Step 4: Simplify right side
    635.42x = 556,267.62
  5. Step 5: Solve for x
    x = 556,267.62/635.42
  6. Step 6: Final answer
    x = 875.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.