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Finding the Fourth Proportional to 930.59, 1,282.73 and 635.34

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Solution

The fourth proportional to 930.59, 1,282.73 and 635.34 is: 875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.59 : 1,282.73 = 635.34 : x
  2. Step 2: Convert to fraction form
    930.59/1,282.73 = 635.34/x
  3. Step 3: Cross multiply
    930.59x = 1,282.73 × 635.34
  4. Step 4: Simplify right side
    930.59x = 814,966.50
  5. Step 5: Solve for x
    x = 814,966.50/930.59
  6. Step 6: Final answer
    x = 875.76

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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.