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Finding the Fourth Proportional to 1,231.38, 1,699.32 and 707.53

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Solution

The fourth proportional to 1,231.38, 1,699.32 and 707.53 is: 976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.38 : 1,699.32 = 707.53 : x
  2. Step 2: Convert to fraction form
    1,231.38/1,699.32 = 707.53/x
  3. Step 3: Cross multiply
    1,231.38x = 1,699.32 × 707.53
  4. Step 4: Simplify right side
    1,231.38x = 1,202,319.88
  5. Step 5: Solve for x
    x = 1,202,319.88/1,231.38
  6. Step 6: Final answer
    x = 976.40

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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.