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Finding the Fourth Proportional to 1,237.29, 1,707.39 and 677.66

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Solution

The fourth proportional to 1,237.29, 1,707.39 and 677.66 is: 935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.29 : 1,707.39 = 677.66 : x
  2. Step 2: Convert to fraction form
    1,237.29/1,707.39 = 677.66/x
  3. Step 3: Cross multiply
    1,237.29x = 1,707.39 × 677.66
  4. Step 4: Simplify right side
    1,237.29x = 1,157,021.37
  5. Step 5: Solve for x
    x = 1,157,021.37/1,237.29
  6. Step 6: Final answer
    x = 935.13

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1.5x scale

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.