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Finding the Fourth Proportional to 1,237.22, 1,707.26 and 677.57

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Solution

The fourth proportional to 1,237.22, 1,707.26 and 677.57 is: 934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.22 : 1,707.26 = 677.57 : x
  2. Step 2: Convert to fraction form
    1,237.22/1,707.26 = 677.57/x
  3. Step 3: Cross multiply
    1,237.22x = 1,707.26 × 677.57
  4. Step 4: Simplify right side
    1,237.22x = 1,156,776.23
  5. Step 5: Solve for x
    x = 1,156,776.23/1,237.22
  6. Step 6: Final answer
    x = 934.98

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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.