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Finding the Fourth Proportional to 1,137.90, 1,706.98 and 407.54

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Solution

The fourth proportional to 1,137.90, 1,706.98 and 407.54 is: 611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.90 : 1,706.98 = 407.54 : x
  2. Step 2: Convert to fraction form
    1,137.90/1,706.98 = 407.54/x
  3. Step 3: Cross multiply
    1,137.90x = 1,706.98 × 407.54
  4. Step 4: Simplify right side
    1,137.90x = 695,662.63
  5. Step 5: Solve for x
    x = 695,662.63/1,137.90
  6. Step 6: Final answer
    x = 611.36

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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.