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Finding the Fourth Proportional to 1,154.08, 1,733.04 and 641.44

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Solution

The fourth proportional to 1,154.08, 1,733.04 and 641.44 is: 963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.08 : 1,733.04 = 641.44 : x
  2. Step 2: Convert to fraction form
    1,154.08/1,733.04 = 641.44/x
  3. Step 3: Cross multiply
    1,154.08x = 1,733.04 × 641.44
  4. Step 4: Simplify right side
    1,154.08x = 1,111,641.18
  5. Step 5: Solve for x
    x = 1,111,641.18/1,154.08
  6. Step 6: Final answer
    x = 963.23

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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.