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Finding the Fourth Proportional to 743.94, 1,117.06 and 579.78

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Solution

The fourth proportional to 743.94, 1,117.06 and 579.78 is: 870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.94 : 1,117.06 = 579.78 : x
  2. Step 2: Convert to fraction form
    743.94/1,117.06 = 579.78/x
  3. Step 3: Cross multiply
    743.94x = 1,117.06 × 579.78
  4. Step 4: Simplify right side
    743.94x = 647,647.60
  5. Step 5: Solve for x
    x = 647,647.60/743.94
  6. Step 6: Final answer
    x = 870.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.