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Finding the Fourth Proportional to 1,105.21, 1,655.87 and 584.07

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Solution

The fourth proportional to 1,105.21, 1,655.87 and 584.07 is: 875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.21 : 1,655.87 = 584.07 : x
  2. Step 2: Convert to fraction form
    1,105.21/1,655.87 = 584.07/x
  3. Step 3: Cross multiply
    1,105.21x = 1,655.87 × 584.07
  4. Step 4: Simplify right side
    1,105.21x = 967,143.99
  5. Step 5: Solve for x
    x = 967,143.99/1,105.21
  6. Step 6: Final answer
    x = 875.08

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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.