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Finding the Fourth Proportional to 1,103.63, 1,655.71 and 640.59

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Solution

The fourth proportional to 1,103.63, 1,655.71 and 640.59 is: 961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.63 : 1,655.71 = 640.59 : x
  2. Step 2: Convert to fraction form
    1,103.63/1,655.71 = 640.59/x
  3. Step 3: Cross multiply
    1,103.63x = 1,655.71 × 640.59
  4. Step 4: Simplify right side
    1,103.63x = 1,060,623.46
  5. Step 5: Solve for x
    x = 1,060,623.46/1,103.63
  6. Step 6: Final answer
    x = 961.04

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