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Finding the Fourth Proportional to 1,231.65, 1,700.09 and 734.45

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Solution

The fourth proportional to 1,231.65, 1,700.09 and 734.45 is: 1,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.65 : 1,700.09 = 734.45 : x
  2. Step 2: Convert to fraction form
    1,231.65/1,700.09 = 734.45/x
  3. Step 3: Cross multiply
    1,231.65x = 1,700.09 × 734.45
  4. Step 4: Simplify right side
    1,231.65x = 1,248,618.93
  5. Step 5: Solve for x
    x = 1,248,618.93/1,231.65
  6. Step 6: Final answer
    x = 1,013.78

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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.