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Finding the Fourth Proportional to 1,137.45, 1,706.50 and 407.08

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Solution

The fourth proportional to 1,137.45, 1,706.50 and 407.08 is: 610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.45 : 1,706.50 = 407.08 : x
  2. Step 2: Convert to fraction form
    1,137.45/1,706.50 = 407.08/x
  3. Step 3: Cross multiply
    1,137.45x = 1,706.50 × 407.08
  4. Step 4: Simplify right side
    1,137.45x = 694,682.02
  5. Step 5: Solve for x
    x = 694,682.02/1,137.45
  6. Step 6: Final answer
    x = 610.74

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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.