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Finding the Fourth Proportional to 712.70, 1,068.64 and 384.02

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Solution

The fourth proportional to 712.70, 1,068.64 and 384.02 is: 575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.70 : 1,068.64 = 384.02 : x
  2. Step 2: Convert to fraction form
    712.70/1,068.64 = 384.02/x
  3. Step 3: Cross multiply
    712.70x = 1,068.64 × 384.02
  4. Step 4: Simplify right side
    712.70x = 410,375.99
  5. Step 5: Solve for x
    x = 410,375.99/712.70
  6. Step 6: Final answer
    x = 575.81

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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.