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Finding the Fourth Proportional to 743.92, 1,024.50 and 577.84

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Solution

The fourth proportional to 743.92, 1,024.50 and 577.84 is: 795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.92 : 1,024.50 = 577.84 : x
  2. Step 2: Convert to fraction form
    743.92/1,024.50 = 577.84/x
  3. Step 3: Cross multiply
    743.92x = 1,024.50 × 577.84
  4. Step 4: Simplify right side
    743.92x = 591,997.08
  5. Step 5: Solve for x
    x = 591,997.08/743.92
  6. Step 6: Final answer
    x = 795.78

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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.