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Finding the Fourth Proportional to 713.30, 1,068.12 and 420.57

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Solution

The fourth proportional to 713.30, 1,068.12 and 420.57 is: 629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.30 : 1,068.12 = 420.57 : x
  2. Step 2: Convert to fraction form
    713.30/1,068.12 = 420.57/x
  3. Step 3: Cross multiply
    713.30x = 1,068.12 × 420.57
  4. Step 4: Simplify right side
    713.30x = 449,219.23
  5. Step 5: Solve for x
    x = 449,219.23/713.30
  6. Step 6: Final answer
    x = 629.78

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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.