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Finding the Fourth Proportional to 744.11, 1,026.35 and 464.51

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Solution

The fourth proportional to 744.11, 1,026.35 and 464.51 is: 640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.11 : 1,026.35 = 464.51 : x
  2. Step 2: Convert to fraction form
    744.11/1,026.35 = 464.51/x
  3. Step 3: Cross multiply
    744.11x = 1,026.35 × 464.51
  4. Step 4: Simplify right side
    744.11x = 476,749.84
  5. Step 5: Solve for x
    x = 476,749.84/744.11
  6. Step 6: Final answer
    x = 640.70

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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.