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Finding the Fourth Proportional to 713.00, 1,070.42 and 301.79

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Solution

The fourth proportional to 713.00, 1,070.42 and 301.79 is: 453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.00 : 1,070.42 = 301.79 : x
  2. Step 2: Convert to fraction form
    713.00/1,070.42 = 301.79/x
  3. Step 3: Cross multiply
    713.00x = 1,070.42 × 301.79
  4. Step 4: Simplify right side
    713.00x = 323,043.22
  5. Step 5: Solve for x
    x = 323,043.22/713.00
  6. Step 6: Final answer
    x = 453.07

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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.