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Finding the Fourth Proportional to 743.40, 1,026 and 463.94

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Solution

The fourth proportional to 743.40, 1,026 and 463.94 is: 640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.40 : 1,026 = 463.94 : x
  2. Step 2: Convert to fraction form
    743.40/1,026 = 463.94/x
  3. Step 3: Cross multiply
    743.40x = 1,026 × 463.94
  4. Step 4: Simplify right side
    743.40x = 475,997.31
  5. Step 5: Solve for x
    x = 475,997.31/743.40
  6. Step 6: Final answer
    x = 640.30

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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.