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Finding the Fourth Proportional to 1,089.15, 1,633.85 and 472.83

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Solution

The fourth proportional to 1,089.15, 1,633.85 and 472.83 is: 709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.15 : 1,633.85 = 472.83 : x
  2. Step 2: Convert to fraction form
    1,089.15/1,633.85 = 472.83/x
  3. Step 3: Cross multiply
    1,089.15x = 1,633.85 × 472.83
  4. Step 4: Simplify right side
    1,089.15x = 772,530.93
  5. Step 5: Solve for x
    x = 772,530.93/1,089.15
  6. Step 6: Final answer
    x = 709.30

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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.