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Finding the Fourth Proportional to 743.00, 1,024.73 and 556.94

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Solution

The fourth proportional to 743.00, 1,024.73 and 556.94 is: 768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.00 : 1,024.73 = 556.94 : x
  2. Step 2: Convert to fraction form
    743.00/1,024.73 = 556.94/x
  3. Step 3: Cross multiply
    743.00x = 1,024.73 × 556.94
  4. Step 4: Simplify right side
    743.00x = 570,705.22
  5. Step 5: Solve for x
    x = 570,705.22/743.00
  6. Step 6: Final answer
    x = 768.11

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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.