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Finding the Fourth Proportional to 743.90, 1,027.50 and 558.26

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Solution

The fourth proportional to 743.90, 1,027.50 and 558.26 is: 771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.90 : 1,027.50 = 558.26 : x
  2. Step 2: Convert to fraction form
    743.90/1,027.50 = 558.26/x
  3. Step 3: Cross multiply
    743.90x = 1,027.50 × 558.26
  4. Step 4: Simplify right side
    743.90x = 573,612.15
  5. Step 5: Solve for x
    x = 573,612.15/743.90
  6. Step 6: Final answer
    x = 771.09

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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.