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Finding the Fourth Proportional to 743.82, 1,026.06 and 463.95

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Solution

The fourth proportional to 743.82, 1,026.06 and 463.95 is: 639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.82 : 1,026.06 = 463.95 : x
  2. Step 2: Convert to fraction form
    743.82/1,026.06 = 463.95/x
  3. Step 3: Cross multiply
    743.82x = 1,026.06 × 463.95
  4. Step 4: Simplify right side
    743.82x = 476,040.54
  5. Step 5: Solve for x
    x = 476,040.54/743.82
  6. Step 6: Final answer
    x = 639.99

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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.