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Finding the Fourth Proportional to 1,237.80, 1,708.11 and 678.27

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Solution

The fourth proportional to 1,237.80, 1,708.11 and 678.27 is: 935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.80 : 1,708.11 = 678.27 : x
  2. Step 2: Convert to fraction form
    1,237.80/1,708.11 = 678.27/x
  3. Step 3: Cross multiply
    1,237.80x = 1,708.11 × 678.27
  4. Step 4: Simplify right side
    1,237.80x = 1,158,559.77
  5. Step 5: Solve for x
    x = 1,158,559.77/1,237.80
  6. Step 6: Final answer
    x = 935.98

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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.