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Finding the Fourth Proportional to 929.23, 1,394.04 and 517.51

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Solution

The fourth proportional to 929.23, 1,394.04 and 517.51 is: 776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.23 : 1,394.04 = 517.51 : x
  2. Step 2: Convert to fraction form
    929.23/1,394.04 = 517.51/x
  3. Step 3: Cross multiply
    929.23x = 1,394.04 × 517.51
  4. Step 4: Simplify right side
    929.23x = 721,429.64
  5. Step 5: Solve for x
    x = 721,429.64/929.23
  6. Step 6: Final answer
    x = 776.37

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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.