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Finding the Fourth Proportional to 713.58, 979.50 and 633.14

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Solution

The fourth proportional to 713.58, 979.50 and 633.14 is: 869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.58 : 979.50 = 633.14 : x
  2. Step 2: Convert to fraction form
    713.58/979.50 = 633.14/x
  3. Step 3: Cross multiply
    713.58x = 979.50 × 633.14
  4. Step 4: Simplify right side
    713.58x = 620,158.32
  5. Step 5: Solve for x
    x = 620,158.32/713.58
  6. Step 6: Final answer
    x = 869.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.