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Finding the Fourth Proportional to 713.21, 1,068.93 and 348.44

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Solution

The fourth proportional to 713.21, 1,068.93 and 348.44 is: 522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.21 : 1,068.93 = 348.44 : x
  2. Step 2: Convert to fraction form
    713.21/1,068.93 = 348.44/x
  3. Step 3: Cross multiply
    713.21x = 1,068.93 × 348.44
  4. Step 4: Simplify right side
    713.21x = 372,452.62
  5. Step 5: Solve for x
    x = 372,452.62/713.21
  6. Step 6: Final answer
    x = 522.22

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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.