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Finding the Fourth Proportional to 1,105.93, 1,656.94 and 586.29

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Solution

The fourth proportional to 1,105.93, 1,656.94 and 586.29 is: 878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.93 : 1,656.94 = 586.29 : x
  2. Step 2: Convert to fraction form
    1,105.93/1,656.94 = 586.29/x
  3. Step 3: Cross multiply
    1,105.93x = 1,656.94 × 586.29
  4. Step 4: Simplify right side
    1,105.93x = 971,453.13
  5. Step 5: Solve for x
    x = 971,453.13/1,105.93
  6. Step 6: Final answer
    x = 878.40

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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.