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Finding the Fourth Proportional to 712.75, 1,068.58 and 387.67

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Solution

The fourth proportional to 712.75, 1,068.58 and 387.67 is: 581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.75 : 1,068.58 = 387.67 : x
  2. Step 2: Convert to fraction form
    712.75/1,068.58 = 387.67/x
  3. Step 3: Cross multiply
    712.75x = 1,068.58 × 387.67
  4. Step 4: Simplify right side
    712.75x = 414,256.41
  5. Step 5: Solve for x
    x = 414,256.41/712.75
  6. Step 6: Final answer
    x = 581.21

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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.