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Finding the Fourth Proportional to 712.82, 1,070.58 and 496.82

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Solution

The fourth proportional to 712.82, 1,070.58 and 496.82 is: 746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.82 : 1,070.58 = 496.82 : x
  2. Step 2: Convert to fraction form
    712.82/1,070.58 = 496.82/x
  3. Step 3: Cross multiply
    712.82x = 1,070.58 × 496.82
  4. Step 4: Simplify right side
    712.82x = 531,885.56
  5. Step 5: Solve for x
    x = 531,885.56/712.82
  6. Step 6: Final answer
    x = 746.17

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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.