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Finding the Fourth Proportional to 929.12, 1,282.62 and 635.90

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Solution

The fourth proportional to 929.12, 1,282.62 and 635.90 is: 877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.12 : 1,282.62 = 635.90 : x
  2. Step 2: Convert to fraction form
    929.12/1,282.62 = 635.90/x
  3. Step 3: Cross multiply
    929.12x = 1,282.62 × 635.90
  4. Step 4: Simplify right side
    929.12x = 815,618.06
  5. Step 5: Solve for x
    x = 815,618.06/929.12
  6. Step 6: Final answer
    x = 877.84

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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.