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Finding the Fourth Proportional to 929.25, 1,282.46 and 579.87

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Solution

The fourth proportional to 929.25, 1,282.46 and 579.87 is: 800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.25 : 1,282.46 = 579.87 : x
  2. Step 2: Convert to fraction form
    929.25/1,282.46 = 579.87/x
  3. Step 3: Cross multiply
    929.25x = 1,282.46 × 579.87
  4. Step 4: Simplify right side
    929.25x = 743,657.18
  5. Step 5: Solve for x
    x = 743,657.18/929.25
  6. Step 6: Final answer
    x = 800.28

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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.