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Finding the Fourth Proportional to 1,137.96, 1,706.93 and 407.59

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Solution

The fourth proportional to 1,137.96, 1,706.93 and 407.59 is: 611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.96 : 1,706.93 = 407.59 : x
  2. Step 2: Convert to fraction form
    1,137.96/1,706.93 = 407.59/x
  3. Step 3: Cross multiply
    1,137.96x = 1,706.93 × 407.59
  4. Step 4: Simplify right side
    1,137.96x = 695,727.60
  5. Step 5: Solve for x
    x = 695,727.60/1,137.96
  6. Step 6: Final answer
    x = 611.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.