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Finding the Fourth Proportional to 937.65, 1,293.93 and 518.00

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Solution

The fourth proportional to 937.65, 1,293.93 and 518.00 is: 714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.65 : 1,293.93 = 518.00 : x
  2. Step 2: Convert to fraction form
    937.65/1,293.93 = 518.00/x
  3. Step 3: Cross multiply
    937.65x = 1,293.93 × 518.00
  4. Step 4: Simplify right side
    937.65x = 670,246.68
  5. Step 5: Solve for x
    x = 670,246.68/937.65
  6. Step 6: Final answer
    x = 714.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.