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Finding the Fourth Proportional to 712.35, 1,069.07 and 494.50

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Solution

The fourth proportional to 712.35, 1,069.07 and 494.50 is: 742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.35 : 1,069.07 = 494.50 : x
  2. Step 2: Convert to fraction form
    712.35/1,069.07 = 494.50/x
  3. Step 3: Cross multiply
    712.35x = 1,069.07 × 494.50
  4. Step 4: Simplify right side
    712.35x = 528,657.69
  5. Step 5: Solve for x
    x = 528,657.69/712.35
  6. Step 6: Final answer
    x = 742.14

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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.