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Finding the Fourth Proportional to 713.94, 1,070.09 and 328.38

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Solution

The fourth proportional to 713.94, 1,070.09 and 328.38 is: 492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.94 : 1,070.09 = 328.38 : x
  2. Step 2: Convert to fraction form
    713.94/1,070.09 = 328.38/x
  3. Step 3: Cross multiply
    713.94x = 1,070.09 × 328.38
  4. Step 4: Simplify right side
    713.94x = 351,390.80
  5. Step 5: Solve for x
    x = 351,390.80/713.94
  6. Step 6: Final answer
    x = 492.19

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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.