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Finding the Fourth Proportional to 713.63, 1,071.20 and 421.43

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Solution

The fourth proportional to 713.63, 1,071.20 and 421.43 is: 632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.63 : 1,071.20 = 421.43 : x
  2. Step 2: Convert to fraction form
    713.63/1,071.20 = 421.43/x
  3. Step 3: Cross multiply
    713.63x = 1,071.20 × 421.43
  4. Step 4: Simplify right side
    713.63x = 451,431.51
  5. Step 5: Solve for x
    x = 451,431.51/713.63
  6. Step 6: Final answer
    x = 632.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.