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Finding the Fourth Proportional to 1,264, 1,744.64 and 712.32

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Solution

The fourth proportional to 1,264, 1,744.64 and 712.32 is: 983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264 : 1,744.64 = 712.32 : x
  2. Step 2: Convert to fraction form
    1,264/1,744.64 = 712.32/x
  3. Step 3: Cross multiply
    1,264x = 1,744.64 × 712.32
  4. Step 4: Simplify right side
    1,264x = 1,242,741.96
  5. Step 5: Solve for x
    x = 1,242,741.96/1,264
  6. Step 6: Final answer
    x = 983.18

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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.