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Finding the Fourth Proportional to 929.04, 1,281.96 and 579.84

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Solution

The fourth proportional to 929.04, 1,281.96 and 579.84 is: 800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.04 : 1,281.96 = 579.84 : x
  2. Step 2: Convert to fraction form
    929.04/1,281.96 = 579.84/x
  3. Step 3: Cross multiply
    929.04x = 1,281.96 × 579.84
  4. Step 4: Simplify right side
    929.04x = 743,331.69
  5. Step 5: Solve for x
    x = 743,331.69/929.04
  6. Step 6: Final answer
    x = 800.11

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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.