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Finding the Fourth Proportional to 1,104.76, 1,656.91 and 643.21

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Solution

The fourth proportional to 1,104.76, 1,656.91 and 643.21 is: 964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.76 : 1,656.91 = 643.21 : x
  2. Step 2: Convert to fraction form
    1,104.76/1,656.91 = 643.21/x
  3. Step 3: Cross multiply
    1,104.76x = 1,656.91 × 643.21
  4. Step 4: Simplify right side
    1,104.76x = 1,065,741.08
  5. Step 5: Solve for x
    x = 1,065,741.08/1,104.76
  6. Step 6: Final answer
    x = 964.68

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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.