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Finding the Fourth Proportional to 1,029.82, 1,421.16 and 564.07

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Solution

The fourth proportional to 1,029.82, 1,421.16 and 564.07 is: 778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.82 : 1,421.16 = 564.07 : x
  2. Step 2: Convert to fraction form
    1,029.82/1,421.16 = 564.07/x
  3. Step 3: Cross multiply
    1,029.82x = 1,421.16 × 564.07
  4. Step 4: Simplify right side
    1,029.82x = 801,633.72
  5. Step 5: Solve for x
    x = 801,633.72/1,029.82
  6. Step 6: Final answer
    x = 778.42

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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.