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Finding the Fourth Proportional to 1,052.96, 1,453.12 and 587.22

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Solution

The fourth proportional to 1,052.96, 1,453.12 and 587.22 is: 810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.96 : 1,453.12 = 587.22 : x
  2. Step 2: Convert to fraction form
    1,052.96/1,453.12 = 587.22/x
  3. Step 3: Cross multiply
    1,052.96x = 1,453.12 × 587.22
  4. Step 4: Simplify right side
    1,052.96x = 853,301.13
  5. Step 5: Solve for x
    x = 853,301.13/1,052.96
  6. Step 6: Final answer
    x = 810.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.