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Finding the Fourth Proportional to 1,238.89, 1,709.29 and 707.75

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Solution

The fourth proportional to 1,238.89, 1,709.29 and 707.75 is: 976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.89 : 1,709.29 = 707.75 : x
  2. Step 2: Convert to fraction form
    1,238.89/1,709.29 = 707.75/x
  3. Step 3: Cross multiply
    1,238.89x = 1,709.29 × 707.75
  4. Step 4: Simplify right side
    1,238.89x = 1,209,750.00
  5. Step 5: Solve for x
    x = 1,209,750.00/1,238.89
  6. Step 6: Final answer
    x = 976.48

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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.