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Finding the Fourth Proportional to 1,155.87, 1,733.27 and 415.40

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Solution

The fourth proportional to 1,155.87, 1,733.27 and 415.40 is: 622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.87 : 1,733.27 = 415.40 : x
  2. Step 2: Convert to fraction form
    1,155.87/1,733.27 = 415.40/x
  3. Step 3: Cross multiply
    1,155.87x = 1,733.27 × 415.40
  4. Step 4: Simplify right side
    1,155.87x = 719,989.61
  5. Step 5: Solve for x
    x = 719,989.61/1,155.87
  6. Step 6: Final answer
    x = 622.90

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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.