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Finding the Fourth Proportional to 743.87, 1,026.54 and 464.15

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Solution

The fourth proportional to 743.87, 1,026.54 and 464.15 is: 640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.87 : 1,026.54 = 464.15 : x
  2. Step 2: Convert to fraction form
    743.87/1,026.54 = 464.15/x
  3. Step 3: Cross multiply
    743.87x = 1,026.54 × 464.15
  4. Step 4: Simplify right side
    743.87x = 476,471.11
  5. Step 5: Solve for x
    x = 476,471.11/743.87
  6. Step 6: Final answer
    x = 640.53

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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.