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Finding the Fourth Proportional to 743.36, 1,025.33 and 463.64

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Solution

The fourth proportional to 743.36, 1,025.33 and 463.64 is: 639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.36 : 1,025.33 = 463.64 : x
  2. Step 2: Convert to fraction form
    743.36/1,025.33 = 463.64/x
  3. Step 3: Cross multiply
    743.36x = 1,025.33 × 463.64
  4. Step 4: Simplify right side
    743.36x = 475,376.56
  5. Step 5: Solve for x
    x = 475,376.56/743.36
  6. Step 6: Final answer
    x = 639.50

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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.