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Finding the Fourth Proportional to 743.80, 1,026.12 and 464.08

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Solution

The fourth proportional to 743.80, 1,026.12 and 464.08 is: 640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.80 : 1,026.12 = 464.08 : x
  2. Step 2: Convert to fraction form
    743.80/1,026.12 = 464.08/x
  3. Step 3: Cross multiply
    743.80x = 1,026.12 × 464.08
  4. Step 4: Simplify right side
    743.80x = 476,201.77
  5. Step 5: Solve for x
    x = 476,201.77/743.80
  6. Step 6: Final answer
    x = 640.23

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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.