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Finding the Fourth Proportional to 713.57, 1,070.14 and 343.19

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Solution

The fourth proportional to 713.57, 1,070.14 and 343.19 is: 514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.57 : 1,070.14 = 343.19 : x
  2. Step 2: Convert to fraction form
    713.57/1,070.14 = 343.19/x
  3. Step 3: Cross multiply
    713.57x = 1,070.14 × 343.19
  4. Step 4: Simplify right side
    713.57x = 367,261.35
  5. Step 5: Solve for x
    x = 367,261.35/713.57
  6. Step 6: Final answer
    x = 514.68

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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.