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Finding the Fourth Proportional to 743.29, 1,025.61 and 477.79

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Solution

The fourth proportional to 743.29, 1,025.61 and 477.79 is: 659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.29 : 1,025.61 = 477.79 : x
  2. Step 2: Convert to fraction form
    743.29/1,025.61 = 477.79/x
  3. Step 3: Cross multiply
    743.29x = 1,025.61 × 477.79
  4. Step 4: Simplify right side
    743.29x = 490,021.07
  5. Step 5: Solve for x
    x = 490,021.07/743.29
  6. Step 6: Final answer
    x = 659.26

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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.