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Finding the Fourth Proportional to 1,174.34, 1,762.68 and 688.34

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Solution

The fourth proportional to 1,174.34, 1,762.68 and 688.34 is: 1,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.34 : 1,762.68 = 688.34 : x
  2. Step 2: Convert to fraction form
    1,174.34/1,762.68 = 688.34/x
  3. Step 3: Cross multiply
    1,174.34x = 1,762.68 × 688.34
  4. Step 4: Simplify right side
    1,174.34x = 1,213,323.15
  5. Step 5: Solve for x
    x = 1,213,323.15/1,174.34
  6. Step 6: Final answer
    x = 1,033.20

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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.