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Finding the Fourth Proportional to 1,237.27, 1,707.62 and 706.15

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Solution

The fourth proportional to 1,237.27, 1,707.62 and 706.15 is: 974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.27 : 1,707.62 = 706.15 : x
  2. Step 2: Convert to fraction form
    1,237.27/1,707.62 = 706.15/x
  3. Step 3: Cross multiply
    1,237.27x = 1,707.62 × 706.15
  4. Step 4: Simplify right side
    1,237.27x = 1,205,835.86
  5. Step 5: Solve for x
    x = 1,205,835.86/1,237.27
  6. Step 6: Final answer
    x = 974.59

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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.