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Finding the Fourth Proportional to 713.31, 1,070.04 and 193.32

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Solution

The fourth proportional to 713.31, 1,070.04 and 193.32 is: 290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.31 : 1,070.04 = 193.32 : x
  2. Step 2: Convert to fraction form
    713.31/1,070.04 = 193.32/x
  3. Step 3: Cross multiply
    713.31x = 1,070.04 × 193.32
  4. Step 4: Simplify right side
    713.31x = 206,865.37
  5. Step 5: Solve for x
    x = 206,865.37/713.31
  6. Step 6: Final answer
    x = 290.01

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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.